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Finding the Fourth Proportional to 6,988.62, 9,644 and 4,002.32

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Solution

The fourth proportional to 6,988.62, 9,644 and 4,002.32 is: 5,523.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.62 : 9,644 = 4,002.32 : x
  2. Step 2: Convert to fraction form
    6,988.62/9,644 = 4,002.32/x
  3. Step 3: Cross multiply
    6,988.62x = 9,644 × 4,002.32
  4. Step 4: Simplify right side
    6,988.62x = 38,598,374.08
  5. Step 5: Solve for x
    x = 38,598,374.08/6,988.62
  6. Step 6: Final answer
    x = 5,523.03

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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.