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Finding the Fourth Proportional to 8,871.20, 13,315 and 4,491.72

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Solution

The fourth proportional to 8,871.20, 13,315 and 4,491.72 is: 6,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,871.20 : 13,315 = 4,491.72 : x
  2. Step 2: Convert to fraction form
    8,871.20/13,315 = 4,491.72/x
  3. Step 3: Cross multiply
    8,871.20x = 13,315 × 4,491.72
  4. Step 4: Simplify right side
    8,871.20x = 59,807,251.80
  5. Step 5: Solve for x
    x = 59,807,251.80/8,871.20
  6. Step 6: Final answer
    x = 6,741.73

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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.