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Finding the Fourth Proportional to 6,439.43, 9,661.98 and 2,742.05

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Solution

The fourth proportional to 6,439.43, 9,661.98 and 2,742.05 is: 4,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.43 : 9,661.98 = 2,742.05 : x
  2. Step 2: Convert to fraction form
    6,439.43/9,661.98 = 2,742.05/x
  3. Step 3: Cross multiply
    6,439.43x = 9,661.98 × 2,742.05
  4. Step 4: Simplify right side
    6,439.43x = 26,493,632.26
  5. Step 5: Solve for x
    x = 26,493,632.26/6,439.43
  6. Step 6: Final answer
    x = 4,114.28

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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.