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Finding the Fourth Proportional to 42,574, 63,890.34 and 14,872

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Solution

The fourth proportional to 42,574, 63,890.34 and 14,872 is: 22,318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,574 : 63,890.34 = 14,872 : x
  2. Step 2: Convert to fraction form
    42,574/63,890.34 = 14,872/x
  3. Step 3: Cross multiply
    42,574x = 63,890.34 × 14,872
  4. Step 4: Simplify right side
    42,574x = 950,177,136.48
  5. Step 5: Solve for x
    x = 950,177,136.48/42,574
  6. Step 6: Final answer
    x = 22,318.25

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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.