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Finding the Fourth Proportional to 5,474.92, 8,211.10 and 1,776.20

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Solution

The fourth proportional to 5,474.92, 8,211.10 and 1,776.20 is: 2,663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.92 : 8,211.10 = 1,776.20 : x
  2. Step 2: Convert to fraction form
    5,474.92/8,211.10 = 1,776.20/x
  3. Step 3: Cross multiply
    5,474.92x = 8,211.10 × 1,776.20
  4. Step 4: Simplify right side
    5,474.92x = 14,584,555.82
  5. Step 5: Solve for x
    x = 14,584,555.82/5,474.92
  6. Step 6: Final answer
    x = 2,663.88

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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.