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Finding the Fourth Proportional to 16,415.20, 22,654 and 9,342.24

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Solution

The fourth proportional to 16,415.20, 22,654 and 9,342.24 is: 12,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.20 : 22,654 = 9,342.24 : x
  2. Step 2: Convert to fraction form
    16,415.20/22,654 = 9,342.24/x
  3. Step 3: Cross multiply
    16,415.20x = 22,654 × 9,342.24
  4. Step 4: Simplify right side
    16,415.20x = 211,639,104.96
  5. Step 5: Solve for x
    x = 211,639,104.96/16,415.20
  6. Step 6: Final answer
    x = 12,892.87

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1.5x scale

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.