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Finding the Fourth Proportional to 16,164.60, 22,304.06 and 9,789.90

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Solution

The fourth proportional to 16,164.60, 22,304.06 and 9,789.90 is: 13,508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.60 : 22,304.06 = 9,789.90 : x
  2. Step 2: Convert to fraction form
    16,164.60/22,304.06 = 9,789.90/x
  3. Step 3: Cross multiply
    16,164.60x = 22,304.06 × 9,789.90
  4. Step 4: Simplify right side
    16,164.60x = 218,354,516.99
  5. Step 5: Solve for x
    x = 218,354,516.99/16,164.60
  6. Step 6: Final answer
    x = 13,508.19

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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.