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Finding the Fourth Proportional to 2,081.63, 3,122.37 and 848.99

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Solution

The fourth proportional to 2,081.63, 3,122.37 and 848.99 is: 1,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.63 : 3,122.37 = 848.99 : x
  2. Step 2: Convert to fraction form
    2,081.63/3,122.37 = 848.99/x
  3. Step 3: Cross multiply
    2,081.63x = 3,122.37 × 848.99
  4. Step 4: Simplify right side
    2,081.63x = 2,650,868.71
  5. Step 5: Solve for x
    x = 2,650,868.71/2,081.63
  6. Step 6: Final answer
    x = 1,273.46

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,082.63, 3,123.87 and 849.99
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.