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Finding the Fourth Proportional to 8,252, 11,387.71 and 4,475.17

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Solution

The fourth proportional to 8,252, 11,387.71 and 4,475.17 is: 6,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252 : 11,387.71 = 4,475.17 : x
  2. Step 2: Convert to fraction form
    8,252/11,387.71 = 4,475.17/x
  3. Step 3: Cross multiply
    8,252x = 11,387.71 × 4,475.17
  4. Step 4: Simplify right side
    8,252x = 50,961,938.16
  5. Step 5: Solve for x
    x = 50,961,938.16/8,252
  6. Step 6: Final answer
    x = 6,175.71

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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.