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Finding the Fourth Proportional to 8,287, 11,436.24 and 4,561

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Solution

The fourth proportional to 8,287, 11,436.24 and 4,561 is: 6,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287 : 11,436.24 = 4,561 : x
  2. Step 2: Convert to fraction form
    8,287/11,436.24 = 4,561/x
  3. Step 3: Cross multiply
    8,287x = 11,436.24 × 4,561
  4. Step 4: Simplify right side
    8,287x = 52,160,690.64
  5. Step 5: Solve for x
    x = 52,160,690.64/8,287
  6. Step 6: Final answer
    x = 6,294.28

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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.