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Finding the Fourth Proportional to 5,239.46, 7,867.10 and 5,071.18

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Solution

The fourth proportional to 5,239.46, 7,867.10 and 5,071.18 is: 7,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.46 : 7,867.10 = 5,071.18 : x
  2. Step 2: Convert to fraction form
    5,239.46/7,867.10 = 5,071.18/x
  3. Step 3: Cross multiply
    5,239.46x = 7,867.10 × 5,071.18
  4. Step 4: Simplify right side
    5,239.46x = 39,895,480.18
  5. Step 5: Solve for x
    x = 39,895,480.18/5,239.46
  6. Step 6: Final answer
    x = 7,614.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.