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Finding the Fourth Proportional to 28,961, 39,966.18 and 15,713

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Solution

The fourth proportional to 28,961, 39,966.18 and 15,713 is: 21,683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,961 : 39,966.18 = 15,713 : x
  2. Step 2: Convert to fraction form
    28,961/39,966.18 = 15,713/x
  3. Step 3: Cross multiply
    28,961x = 39,966.18 × 15,713
  4. Step 4: Simplify right side
    28,961x = 627,988,586.34
  5. Step 5: Solve for x
    x = 627,988,586.34/28,961
  6. Step 6: Final answer
    x = 21,683.94

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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.