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Finding the Fourth Proportional to 39,515, 54,550.52 and 30,542.20

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Solution

The fourth proportional to 39,515, 54,550.52 and 30,542.20 is: 42,163.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,515 : 54,550.52 = 30,542.20 : x
  2. Step 2: Convert to fraction form
    39,515/54,550.52 = 30,542.20/x
  3. Step 3: Cross multiply
    39,515x = 54,550.52 × 30,542.20
  4. Step 4: Simplify right side
    39,515x = 1,666,092,891.94
  5. Step 5: Solve for x
    x = 1,666,092,891.94/39,515
  6. Step 6: Final answer
    x = 42,163.56

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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.