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Finding the Fourth Proportional to 16,601.40, 22,909.93 and 9,149.40

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Solution

The fourth proportional to 16,601.40, 22,909.93 and 9,149.40 is: 12,626.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,601.40 : 22,909.93 = 9,149.40 : x
  2. Step 2: Convert to fraction form
    16,601.40/22,909.93 = 9,149.40/x
  3. Step 3: Cross multiply
    16,601.40x = 22,909.93 × 9,149.40
  4. Step 4: Simplify right side
    16,601.40x = 209,612,113.54
  5. Step 5: Solve for x
    x = 209,612,113.54/16,601.40
  6. Step 6: Final answer
    x = 12,626.17

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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.