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Finding the Fourth Proportional to 3,188.72, 4,398 and 2,307.44

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Solution

The fourth proportional to 3,188.72, 4,398 and 2,307.44 is: 3,182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.72 : 4,398 = 2,307.44 : x
  2. Step 2: Convert to fraction form
    3,188.72/4,398 = 2,307.44/x
  3. Step 3: Cross multiply
    3,188.72x = 4,398 × 2,307.44
  4. Step 4: Simplify right side
    3,188.72x = 10,148,121.12
  5. Step 5: Solve for x
    x = 10,148,121.12/3,188.72
  6. Step 6: Final answer
    x = 3,182.51

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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.