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Finding the Fourth Proportional to 12,180.64, 16,799.12 and 7,463.20

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Solution

The fourth proportional to 12,180.64, 16,799.12 and 7,463.20 is: 10,292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.64 : 16,799.12 = 7,463.20 : x
  2. Step 2: Convert to fraction form
    12,180.64/16,799.12 = 7,463.20/x
  3. Step 3: Cross multiply
    12,180.64x = 16,799.12 × 7,463.20
  4. Step 4: Simplify right side
    12,180.64x = 125,375,192.38
  5. Step 5: Solve for x
    x = 125,375,192.38/12,180.64
  6. Step 6: Final answer
    x = 10,292.99

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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.