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Finding the Fourth Proportional to 2,677.57, 4,016.32 and 729.76

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Solution

The fourth proportional to 2,677.57, 4,016.32 and 729.76 is: 1,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.57 : 4,016.32 = 729.76 : x
  2. Step 2: Convert to fraction form
    2,677.57/4,016.32 = 729.76/x
  3. Step 3: Cross multiply
    2,677.57x = 4,016.32 × 729.76
  4. Step 4: Simplify right side
    2,677.57x = 2,930,949.68
  5. Step 5: Solve for x
    x = 2,930,949.68/2,677.57
  6. Step 6: Final answer
    x = 1,094.63

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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.