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Finding the Fourth Proportional to 5,166.64, 7,747.12 and 2,391.78

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Solution

The fourth proportional to 5,166.64, 7,747.12 and 2,391.78 is: 3,586.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.64 : 7,747.12 = 2,391.78 : x
  2. Step 2: Convert to fraction form
    5,166.64/7,747.12 = 2,391.78/x
  3. Step 3: Cross multiply
    5,166.64x = 7,747.12 × 2,391.78
  4. Step 4: Simplify right side
    5,166.64x = 18,529,388.41
  5. Step 5: Solve for x
    x = 18,529,388.41/5,166.64
  6. Step 6: Final answer
    x = 3,586.35

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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.