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Finding the Fourth Proportional to 4,648.68, 6,974.88 and 1,729.44

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Solution

The fourth proportional to 4,648.68, 6,974.88 and 1,729.44 is: 2,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.68 : 6,974.88 = 1,729.44 : x
  2. Step 2: Convert to fraction form
    4,648.68/6,974.88 = 1,729.44/x
  3. Step 3: Cross multiply
    4,648.68x = 6,974.88 × 1,729.44
  4. Step 4: Simplify right side
    4,648.68x = 12,062,636.47
  5. Step 5: Solve for x
    x = 12,062,636.47/4,648.68
  6. Step 6: Final answer
    x = 2,594.85

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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.