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Finding the Fourth Proportional to 7,871.24, 11,808.49 and 6,581.72

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Solution

The fourth proportional to 7,871.24, 11,808.49 and 6,581.72 is: 9,873.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.24 : 11,808.49 = 6,581.72 : x
  2. Step 2: Convert to fraction form
    7,871.24/11,808.49 = 6,581.72/x
  3. Step 3: Cross multiply
    7,871.24x = 11,808.49 × 6,581.72
  4. Step 4: Simplify right side
    7,871.24x = 77,720,174.80
  5. Step 5: Solve for x
    x = 77,720,174.80/7,871.24
  6. Step 6: Final answer
    x = 9,873.94

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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.