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Finding the Fourth Proportional to 8,462.62, 12,708.45 and 5,194.90

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Solution

The fourth proportional to 8,462.62, 12,708.45 and 5,194.90 is: 7,801.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.62 : 12,708.45 = 5,194.90 : x
  2. Step 2: Convert to fraction form
    8,462.62/12,708.45 = 5,194.90/x
  3. Step 3: Cross multiply
    8,462.62x = 12,708.45 × 5,194.90
  4. Step 4: Simplify right side
    8,462.62x = 66,019,126.91
  5. Step 5: Solve for x
    x = 66,019,126.91/8,462.62
  6. Step 6: Final answer
    x = 7,801.26

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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.