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Finding the Fourth Proportional to 12,375.84, 17,071.56 and 8,129.40

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Solution

The fourth proportional to 12,375.84, 17,071.56 and 8,129.40 is: 11,213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,375.84 : 17,071.56 = 8,129.40 : x
  2. Step 2: Convert to fraction form
    12,375.84/17,071.56 = 8,129.40/x
  3. Step 3: Cross multiply
    12,375.84x = 17,071.56 × 8,129.40
  4. Step 4: Simplify right side
    12,375.84x = 138,781,539.86
  5. Step 5: Solve for x
    x = 138,781,539.86/12,375.84
  6. Step 6: Final answer
    x = 11,213.91

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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.