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Finding the Fourth Proportional to 12,008.46, 17,891.88 and 11,337.78

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Solution

The fourth proportional to 12,008.46, 17,891.88 and 11,337.78 is: 16,892.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.46 : 17,891.88 = 11,337.78 : x
  2. Step 2: Convert to fraction form
    12,008.46/17,891.88 = 11,337.78/x
  3. Step 3: Cross multiply
    12,008.46x = 17,891.88 × 11,337.78
  4. Step 4: Simplify right side
    12,008.46x = 202,854,199.23
  5. Step 5: Solve for x
    x = 202,854,199.23/12,008.46
  6. Step 6: Final answer
    x = 16,892.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.