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Finding the Fourth Proportional to 8,149.16, 11,238 and 5,159.54

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Solution

The fourth proportional to 8,149.16, 11,238 and 5,159.54 is: 7,115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.16 : 11,238 = 5,159.54 : x
  2. Step 2: Convert to fraction form
    8,149.16/11,238 = 5,159.54/x
  3. Step 3: Cross multiply
    8,149.16x = 11,238 × 5,159.54
  4. Step 4: Simplify right side
    8,149.16x = 57,982,910.52
  5. Step 5: Solve for x
    x = 57,982,910.52/8,149.16
  6. Step 6: Final answer
    x = 7,115.20

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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.