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Finding the Fourth Proportional to 8,502.60, 11,731.78 and 5,144.75

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Solution

The fourth proportional to 8,502.60, 11,731.78 and 5,144.75 is: 7,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.60 : 11,731.78 = 5,144.75 : x
  2. Step 2: Convert to fraction form
    8,502.60/11,731.78 = 5,144.75/x
  3. Step 3: Cross multiply
    8,502.60x = 11,731.78 × 5,144.75
  4. Step 4: Simplify right side
    8,502.60x = 60,357,003.63
  5. Step 5: Solve for x
    x = 60,357,003.63/8,502.60
  6. Step 6: Final answer
    x = 7,098.65

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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.