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Finding the Fourth Proportional to 11,500, 15,872.16 and 6,532

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Solution

The fourth proportional to 11,500, 15,872.16 and 6,532 is: 9,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500 : 15,872.16 = 6,532 : x
  2. Step 2: Convert to fraction form
    11,500/15,872.16 = 6,532/x
  3. Step 3: Cross multiply
    11,500x = 15,872.16 × 6,532
  4. Step 4: Simplify right side
    11,500x = 103,676,949.12
  5. Step 5: Solve for x
    x = 103,676,949.12/11,500
  6. Step 6: Final answer
    x = 9,015.39

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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.