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Finding the Fourth Proportional to 21,252, 31,877.99 and 10,124.97

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Solution

The fourth proportional to 21,252, 31,877.99 and 10,124.97 is: 15,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,252 : 31,877.99 = 10,124.97 : x
  2. Step 2: Convert to fraction form
    21,252/31,877.99 = 10,124.97/x
  3. Step 3: Cross multiply
    21,252x = 31,877.99 × 10,124.97
  4. Step 4: Simplify right side
    21,252x = 322,763,641.79
  5. Step 5: Solve for x
    x = 322,763,641.79/21,252
  6. Step 6: Final answer
    x = 15,187.45

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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.