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Finding the Fourth Proportional to 8,287.68, 11,431.20 and 5,630.49

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Solution

The fourth proportional to 8,287.68, 11,431.20 and 5,630.49 is: 7,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.68 : 11,431.20 = 5,630.49 : x
  2. Step 2: Convert to fraction form
    8,287.68/11,431.20 = 5,630.49/x
  3. Step 3: Cross multiply
    8,287.68x = 11,431.20 × 5,630.49
  4. Step 4: Simplify right side
    8,287.68x = 64,363,257.29
  5. Step 5: Solve for x
    x = 64,363,257.29/8,287.68
  6. Step 6: Final answer
    x = 7,766.14

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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.