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Finding the Fourth Proportional to 8,414.70, 12,608.16 and 5,117.82

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Solution

The fourth proportional to 8,414.70, 12,608.16 and 5,117.82 is: 7,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.70 : 12,608.16 = 5,117.82 : x
  2. Step 2: Convert to fraction form
    8,414.70/12,608.16 = 5,117.82/x
  3. Step 3: Cross multiply
    8,414.70x = 12,608.16 × 5,117.82
  4. Step 4: Simplify right side
    8,414.70x = 64,526,293.41
  5. Step 5: Solve for x
    x = 64,526,293.41/8,414.70
  6. Step 6: Final answer
    x = 7,668.28

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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.