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Finding the Fourth Proportional to 7,691.63, 10,610.19 and 5,169.29

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Solution

The fourth proportional to 7,691.63, 10,610.19 and 5,169.29 is: 7,130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.63 : 10,610.19 = 5,169.29 : x
  2. Step 2: Convert to fraction form
    7,691.63/10,610.19 = 5,169.29/x
  3. Step 3: Cross multiply
    7,691.63x = 10,610.19 × 5,169.29
  4. Step 4: Simplify right side
    7,691.63x = 54,847,096.01
  5. Step 5: Solve for x
    x = 54,847,096.01/7,691.63
  6. Step 6: Final answer
    x = 7,130.76

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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.