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Finding the Fourth Proportional to 6,651.28, 9,978 and 2,492.76

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Solution

The fourth proportional to 6,651.28, 9,978 and 2,492.76 is: 3,739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.28 : 9,978 = 2,492.76 : x
  2. Step 2: Convert to fraction form
    6,651.28/9,978 = 2,492.76/x
  3. Step 3: Cross multiply
    6,651.28x = 9,978 × 2,492.76
  4. Step 4: Simplify right side
    6,651.28x = 24,872,759.28
  5. Step 5: Solve for x
    x = 24,872,759.28/6,651.28
  6. Step 6: Final answer
    x = 3,739.54

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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.