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Finding the Fourth Proportional to 5,422.48, 7,463.76 and 3,847.84

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Solution

The fourth proportional to 5,422.48, 7,463.76 and 3,847.84 is: 5,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.48 : 7,463.76 = 3,847.84 : x
  2. Step 2: Convert to fraction form
    5,422.48/7,463.76 = 3,847.84/x
  3. Step 3: Cross multiply
    5,422.48x = 7,463.76 × 3,847.84
  4. Step 4: Simplify right side
    5,422.48x = 28,719,354.28
  5. Step 5: Solve for x
    x = 28,719,354.28/5,422.48
  6. Step 6: Final answer
    x = 5,296.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.