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Finding the Fourth Proportional to 8,287.76, 11,436.98 and 4,561.76

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Solution

The fourth proportional to 8,287.76, 11,436.98 and 4,561.76 is: 6,295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.76 : 11,436.98 = 4,561.76 : x
  2. Step 2: Convert to fraction form
    8,287.76/11,436.98 = 4,561.76/x
  3. Step 3: Cross multiply
    8,287.76x = 11,436.98 × 4,561.76
  4. Step 4: Simplify right side
    8,287.76x = 52,172,757.88
  5. Step 5: Solve for x
    x = 52,172,757.88/8,287.76
  6. Step 6: Final answer
    x = 6,295.16

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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.