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Finding the Fourth Proportional to 2,677.78, 4,016.68 and 729.98

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Solution

The fourth proportional to 2,677.78, 4,016.68 and 729.98 is: 1,094.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.78 : 4,016.68 = 729.98 : x
  2. Step 2: Convert to fraction form
    2,677.78/4,016.68 = 729.98/x
  3. Step 3: Cross multiply
    2,677.78x = 4,016.68 × 729.98
  4. Step 4: Simplify right side
    2,677.78x = 2,932,092.42
  5. Step 5: Solve for x
    x = 2,932,092.42/2,677.78
  6. Step 6: Final answer
    x = 1,094.97

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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.