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Finding the Fourth Proportional to 7,861.86, 11,794.01 and 2,932.20

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Solution

The fourth proportional to 7,861.86, 11,794.01 and 2,932.20 is: 4,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.86 : 11,794.01 = 2,932.20 : x
  2. Step 2: Convert to fraction form
    7,861.86/11,794.01 = 2,932.20/x
  3. Step 3: Cross multiply
    7,861.86x = 11,794.01 × 2,932.20
  4. Step 4: Simplify right side
    7,861.86x = 34,582,381.46
  5. Step 5: Solve for x
    x = 34,582,381.46/7,861.86
  6. Step 6: Final answer
    x = 4,398.75

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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.