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Finding the Fourth Proportional to 42,640.56, 63,960.84 and 11,475

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Solution

The fourth proportional to 42,640.56, 63,960.84 and 11,475 is: 17,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,640.56 : 63,960.84 = 11,475 : x
  2. Step 2: Convert to fraction form
    42,640.56/63,960.84 = 11,475/x
  3. Step 3: Cross multiply
    42,640.56x = 63,960.84 × 11,475
  4. Step 4: Simplify right side
    42,640.56x = 733,950,639
  5. Step 5: Solve for x
    x = 733,950,639/42,640.56
  6. Step 6: Final answer
    x = 17,212.50

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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.