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Finding the Fourth Proportional to 8,711.40, 13,069.30 and 2,471.42

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Solution

The fourth proportional to 8,711.40, 13,069.30 and 2,471.42 is: 3,707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.40 : 13,069.30 = 2,471.42 : x
  2. Step 2: Convert to fraction form
    8,711.40/13,069.30 = 2,471.42/x
  3. Step 3: Cross multiply
    8,711.40x = 13,069.30 × 2,471.42
  4. Step 4: Simplify right side
    8,711.40x = 32,299,729.41
  5. Step 5: Solve for x
    x = 32,299,729.41/8,711.40
  6. Step 6: Final answer
    x = 3,707.75

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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.