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Finding the Fourth Proportional to 6,257.86, 8,616.17 and 5,311.78

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Solution

The fourth proportional to 6,257.86, 8,616.17 and 5,311.78 is: 7,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.86 : 8,616.17 = 5,311.78 : x
  2. Step 2: Convert to fraction form
    6,257.86/8,616.17 = 5,311.78/x
  3. Step 3: Cross multiply
    6,257.86x = 8,616.17 × 5,311.78
  4. Step 4: Simplify right side
    6,257.86x = 45,767,191.22
  5. Step 5: Solve for x
    x = 45,767,191.22/6,257.86
  6. Step 6: Final answer
    x = 7,313.56

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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.