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Finding the Fourth Proportional to 5,374.14, 8,061.52 and 1,478.46

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Solution

The fourth proportional to 5,374.14, 8,061.52 and 1,478.46 is: 2,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.14 : 8,061.52 = 1,478.46 : x
  2. Step 2: Convert to fraction form
    5,374.14/8,061.52 = 1,478.46/x
  3. Step 3: Cross multiply
    5,374.14x = 8,061.52 × 1,478.46
  4. Step 4: Simplify right side
    5,374.14x = 11,918,634.86
  5. Step 5: Solve for x
    x = 11,918,634.86/5,374.14
  6. Step 6: Final answer
    x = 2,217.78

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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.