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Finding the Fourth Proportional to 8,489.29, 12,720.10 and 5,195.47

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Solution

The fourth proportional to 8,489.29, 12,720.10 and 5,195.47 is: 7,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.29 : 12,720.10 = 5,195.47 : x
  2. Step 2: Convert to fraction form
    8,489.29/12,720.10 = 5,195.47/x
  3. Step 3: Cross multiply
    8,489.29x = 12,720.10 × 5,195.47
  4. Step 4: Simplify right side
    8,489.29x = 66,086,897.95
  5. Step 5: Solve for x
    x = 66,086,897.95/8,489.29
  6. Step 6: Final answer
    x = 7,784.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.