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Finding the Fourth Proportional to 5,478.64, 8,217.92 and 1,374.64

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Solution

The fourth proportional to 5,478.64, 8,217.92 and 1,374.64 is: 2,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.64 : 8,217.92 = 1,374.64 : x
  2. Step 2: Convert to fraction form
    5,478.64/8,217.92 = 1,374.64/x
  3. Step 3: Cross multiply
    5,478.64x = 8,217.92 × 1,374.64
  4. Step 4: Simplify right side
    5,478.64x = 11,296,681.55
  5. Step 5: Solve for x
    x = 11,296,681.55/5,478.64
  6. Step 6: Final answer
    x = 2,061.95

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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.