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Finding the Fourth Proportional to 5,660.65, 7,811.56 and 3,142.68

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Solution

The fourth proportional to 5,660.65, 7,811.56 and 3,142.68 is: 4,336.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.65 : 7,811.56 = 3,142.68 : x
  2. Step 2: Convert to fraction form
    5,660.65/7,811.56 = 3,142.68/x
  3. Step 3: Cross multiply
    5,660.65x = 7,811.56 × 3,142.68
  4. Step 4: Simplify right side
    5,660.65x = 24,549,234.28
  5. Step 5: Solve for x
    x = 24,549,234.28/5,660.65
  6. Step 6: Final answer
    x = 4,336.82

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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.