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Finding the Fourth Proportional to 6,489.05, 9,734.38 and 2,539.79

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Solution

The fourth proportional to 6,489.05, 9,734.38 and 2,539.79 is: 3,810.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.05 : 9,734.38 = 2,539.79 : x
  2. Step 2: Convert to fraction form
    6,489.05/9,734.38 = 2,539.79/x
  3. Step 3: Cross multiply
    6,489.05x = 9,734.38 × 2,539.79
  4. Step 4: Simplify right side
    6,489.05x = 24,723,314.24
  5. Step 5: Solve for x
    x = 24,723,314.24/6,489.05
  6. Step 6: Final answer
    x = 3,810.01

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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.