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Finding the Fourth Proportional to 11,478, 15,841.56 and 6,512.88

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Solution

The fourth proportional to 11,478, 15,841.56 and 6,512.88 is: 8,988.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478 : 15,841.56 = 6,512.88 : x
  2. Step 2: Convert to fraction form
    11,478/15,841.56 = 6,512.88/x
  3. Step 3: Cross multiply
    11,478x = 15,841.56 × 6,512.88
  4. Step 4: Simplify right side
    11,478x = 103,174,179.29
  5. Step 5: Solve for x
    x = 103,174,179.29/11,478
  6. Step 6: Final answer
    x = 8,988.86

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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.