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Finding the Fourth Proportional to 12,357.16, 17,052.80 and 6,691.78

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Solution

The fourth proportional to 12,357.16, 17,052.80 and 6,691.78 is: 9,234.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.16 : 17,052.80 = 6,691.78 : x
  2. Step 2: Convert to fraction form
    12,357.16/17,052.80 = 6,691.78/x
  3. Step 3: Cross multiply
    12,357.16x = 17,052.80 × 6,691.78
  4. Step 4: Simplify right side
    12,357.16x = 114,113,607.30
  5. Step 5: Solve for x
    x = 114,113,607.30/12,357.16
  6. Step 6: Final answer
    x = 9,234.61

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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.