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Finding the Fourth Proportional to 6,311.65, 9,479.78 and 5,142.52

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Solution

The fourth proportional to 6,311.65, 9,479.78 and 5,142.52 is: 7,723.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.65 : 9,479.78 = 5,142.52 : x
  2. Step 2: Convert to fraction form
    6,311.65/9,479.78 = 5,142.52/x
  3. Step 3: Cross multiply
    6,311.65x = 9,479.78 × 5,142.52
  4. Step 4: Simplify right side
    6,311.65x = 48,749,885.13
  5. Step 5: Solve for x
    x = 48,749,885.13/6,311.65
  6. Step 6: Final answer
    x = 7,723.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.