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Finding the Fourth Proportional to 4,918.61, 7,375.14 and 1,630.82

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Solution

The fourth proportional to 4,918.61, 7,375.14 and 1,630.82 is: 2,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,918.61 : 7,375.14 = 1,630.82 : x
  2. Step 2: Convert to fraction form
    4,918.61/7,375.14 = 1,630.82/x
  3. Step 3: Cross multiply
    4,918.61x = 7,375.14 × 1,630.82
  4. Step 4: Simplify right side
    4,918.61x = 12,027,488.94
  5. Step 5: Solve for x
    x = 12,027,488.94/4,918.61
  6. Step 6: Final answer
    x = 2,445.30

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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.