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Finding the Fourth Proportional to 5,471.76, 8,211.08 and 2,509.76

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Solution

The fourth proportional to 5,471.76, 8,211.08 and 2,509.76 is: 3,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.76 : 8,211.08 = 2,509.76 : x
  2. Step 2: Convert to fraction form
    5,471.76/8,211.08 = 2,509.76/x
  3. Step 3: Cross multiply
    5,471.76x = 8,211.08 × 2,509.76
  4. Step 4: Simplify right side
    5,471.76x = 20,607,840.14
  5. Step 5: Solve for x
    x = 20,607,840.14/5,471.76
  6. Step 6: Final answer
    x = 3,766.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.