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Finding the Fourth Proportional to 16,400.55, 22,630.89 and 9,229.08

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Solution

The fourth proportional to 16,400.55, 22,630.89 and 9,229.08 is: 12,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.55 : 22,630.89 = 9,229.08 : x
  2. Step 2: Convert to fraction form
    16,400.55/22,630.89 = 9,229.08/x
  3. Step 3: Cross multiply
    16,400.55x = 22,630.89 × 9,229.08
  4. Step 4: Simplify right side
    16,400.55x = 208,862,294.28
  5. Step 5: Solve for x
    x = 208,862,294.28/16,400.55
  6. Step 6: Final answer
    x = 12,735.08

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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.