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Finding the Fourth Proportional to 16,911, 23,337.18 and 9,459

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Solution

The fourth proportional to 16,911, 23,337.18 and 9,459 is: 13,053.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,911 : 23,337.18 = 9,459 : x
  2. Step 2: Convert to fraction form
    16,911/23,337.18 = 9,459/x
  3. Step 3: Cross multiply
    16,911x = 23,337.18 × 9,459
  4. Step 4: Simplify right side
    16,911x = 220,746,385.62
  5. Step 5: Solve for x
    x = 220,746,385.62/16,911
  6. Step 6: Final answer
    x = 13,053.42

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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.