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Finding the Fourth Proportional to 5,230.27, 7,231.98 and 5,145.78

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Solution

The fourth proportional to 5,230.27, 7,231.98 and 5,145.78 is: 7,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.27 : 7,231.98 = 5,145.78 : x
  2. Step 2: Convert to fraction form
    5,230.27/7,231.98 = 5,145.78/x
  3. Step 3: Cross multiply
    5,230.27x = 7,231.98 × 5,145.78
  4. Step 4: Simplify right side
    5,230.27x = 37,214,141.88
  5. Step 5: Solve for x
    x = 37,214,141.88/5,230.27
  6. Step 6: Final answer
    x = 7,115.15

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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.