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Finding the Fourth Proportional to 15,012, 20,721.42 and 9,423

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Solution

The fourth proportional to 15,012, 20,721.42 and 9,423 is: 13,006.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,012 : 20,721.42 = 9,423 : x
  2. Step 2: Convert to fraction form
    15,012/20,721.42 = 9,423/x
  3. Step 3: Cross multiply
    15,012x = 20,721.42 × 9,423
  4. Step 4: Simplify right side
    15,012x = 195,257,940.66
  5. Step 5: Solve for x
    x = 195,257,940.66/15,012
  6. Step 6: Final answer
    x = 13,006.79

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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.