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Finding the Fourth Proportional to 5,226.55, 7,842.51 and 3,472.78

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Solution

The fourth proportional to 5,226.55, 7,842.51 and 3,472.78 is: 5,210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.55 : 7,842.51 = 3,472.78 : x
  2. Step 2: Convert to fraction form
    5,226.55/7,842.51 = 3,472.78/x
  3. Step 3: Cross multiply
    5,226.55x = 7,842.51 × 3,472.78
  4. Step 4: Simplify right side
    5,226.55x = 27,235,311.88
  5. Step 5: Solve for x
    x = 27,235,311.88/5,226.55
  6. Step 6: Final answer
    x = 5,210.95

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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.