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Finding the Fourth Proportional to 16,400.85, 22,631.07 and 9,229.87

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Solution

The fourth proportional to 16,400.85, 22,631.07 and 9,229.87 is: 12,736.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.85 : 22,631.07 = 9,229.87 : x
  2. Step 2: Convert to fraction form
    16,400.85/22,631.07 = 9,229.87/x
  3. Step 3: Cross multiply
    16,400.85x = 22,631.07 × 9,229.87
  4. Step 4: Simplify right side
    16,400.85x = 208,881,834.06
  5. Step 5: Solve for x
    x = 208,881,834.06/16,400.85
  6. Step 6: Final answer
    x = 12,736.04

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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.