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Finding the Fourth Proportional to 16,232.80, 22,401.16 and 8,780.80

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Solution

The fourth proportional to 16,232.80, 22,401.16 and 8,780.80 is: 12,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.80 : 22,401.16 = 8,780.80 : x
  2. Step 2: Convert to fraction form
    16,232.80/22,401.16 = 8,780.80/x
  3. Step 3: Cross multiply
    16,232.80x = 22,401.16 × 8,780.80
  4. Step 4: Simplify right side
    16,232.80x = 196,700,105.73
  5. Step 5: Solve for x
    x = 196,700,105.73/16,232.80
  6. Step 6: Final answer
    x = 12,117.45

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Half scale
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Double scale
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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.