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Finding the Fourth Proportional to 5,716.12, 8,565 and 4,247.86

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Solution

The fourth proportional to 5,716.12, 8,565 and 4,247.86 is: 6,364.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.12 : 8,565 = 4,247.86 : x
  2. Step 2: Convert to fraction form
    5,716.12/8,565 = 4,247.86/x
  3. Step 3: Cross multiply
    5,716.12x = 8,565 × 4,247.86
  4. Step 4: Simplify right side
    5,716.12x = 36,382,920.90
  5. Step 5: Solve for x
    x = 36,382,920.90/5,716.12
  6. Step 6: Final answer
    x = 6,364.97

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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.