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Finding the Fourth Proportional to 16,915, 23,342.70 and 9,463

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Solution

The fourth proportional to 16,915, 23,342.70 and 9,463 is: 13,058.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,915 : 23,342.70 = 9,463 : x
  2. Step 2: Convert to fraction form
    16,915/23,342.70 = 9,463/x
  3. Step 3: Cross multiply
    16,915x = 23,342.70 × 9,463
  4. Step 4: Simplify right side
    16,915x = 220,891,970.10
  5. Step 5: Solve for x
    x = 220,891,970.10/16,915
  6. Step 6: Final answer
    x = 13,058.94

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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.