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Finding the Fourth Proportional to 6,986.52, 9,642.11 and 4,002.75

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Solution

The fourth proportional to 6,986.52, 9,642.11 and 4,002.75 is: 5,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.52 : 9,642.11 = 4,002.75 : x
  2. Step 2: Convert to fraction form
    6,986.52/9,642.11 = 4,002.75/x
  3. Step 3: Cross multiply
    6,986.52x = 9,642.11 × 4,002.75
  4. Step 4: Simplify right side
    6,986.52x = 38,594,935.79
  5. Step 5: Solve for x
    x = 38,594,935.79/6,986.52
  6. Step 6: Final answer
    x = 5,524.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.