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Finding the Fourth Proportional to 5,649, 8,479.23 and 2,729.76

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Solution

The fourth proportional to 5,649, 8,479.23 and 2,729.76 is: 4,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649 : 8,479.23 = 2,729.76 : x
  2. Step 2: Convert to fraction form
    5,649/8,479.23 = 2,729.76/x
  3. Step 3: Cross multiply
    5,649x = 8,479.23 × 2,729.76
  4. Step 4: Simplify right side
    5,649x = 23,146,262.88
  5. Step 5: Solve for x
    x = 23,146,262.88/5,649
  6. Step 6: Final answer
    x = 4,097.41

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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.