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Finding the Fourth Proportional to 1,581.36, 2,182.28 and 882.76

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Solution

The fourth proportional to 1,581.36, 2,182.28 and 882.76 is: 1,218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.36 : 2,182.28 = 882.76 : x
  2. Step 2: Convert to fraction form
    1,581.36/2,182.28 = 882.76/x
  3. Step 3: Cross multiply
    1,581.36x = 2,182.28 × 882.76
  4. Step 4: Simplify right side
    1,581.36x = 1,926,429.49
  5. Step 5: Solve for x
    x = 1,926,429.49/1,581.36
  6. Step 6: Final answer
    x = 1,218.21

Related Problems

Find fourth proportional to 790.68, 1,091.14 and 441.38
Half scale
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Double scale
Find fourth proportional to 1,582.36, 2,183.66 and 883.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.