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Finding the Fourth Proportional to 1,346.80, 1,859.08 and 1,182.76

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Solution

The fourth proportional to 1,346.80, 1,859.08 and 1,182.76 is: 1,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.80 : 1,859.08 = 1,182.76 : x
  2. Step 2: Convert to fraction form
    1,346.80/1,859.08 = 1,182.76/x
  3. Step 3: Cross multiply
    1,346.80x = 1,859.08 × 1,182.76
  4. Step 4: Simplify right side
    1,346.80x = 2,198,845.46
  5. Step 5: Solve for x
    x = 2,198,845.46/1,346.80
  6. Step 6: Final answer
    x = 1,632.64

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Half scale
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Double scale
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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.