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Finding the Fourth Proportional to 42,542.56, 63,813.84 and 11,377

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Solution

The fourth proportional to 42,542.56, 63,813.84 and 11,377 is: 17,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,542.56 : 63,813.84 = 11,377 : x
  2. Step 2: Convert to fraction form
    42,542.56/63,813.84 = 11,377/x
  3. Step 3: Cross multiply
    42,542.56x = 63,813.84 × 11,377
  4. Step 4: Simplify right side
    42,542.56x = 726,010,057.68
  5. Step 5: Solve for x
    x = 726,010,057.68/42,542.56
  6. Step 6: Final answer
    x = 17,065.50

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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.