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Finding the Fourth Proportional to 7,425.88, 11,138.82 and 3,319

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Solution

The fourth proportional to 7,425.88, 11,138.82 and 3,319 is: 4,978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,425.88 : 11,138.82 = 3,319 : x
  2. Step 2: Convert to fraction form
    7,425.88/11,138.82 = 3,319/x
  3. Step 3: Cross multiply
    7,425.88x = 11,138.82 × 3,319
  4. Step 4: Simplify right side
    7,425.88x = 36,969,743.58
  5. Step 5: Solve for x
    x = 36,969,743.58/7,425.88
  6. Step 6: Final answer
    x = 4,978.50

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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.