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Finding the Fourth Proportional to 2,781.72, 4,172.58 and 729.72

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Solution

The fourth proportional to 2,781.72, 4,172.58 and 729.72 is: 1,094.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.72 : 4,172.58 = 729.72 : x
  2. Step 2: Convert to fraction form
    2,781.72/4,172.58 = 729.72/x
  3. Step 3: Cross multiply
    2,781.72x = 4,172.58 × 729.72
  4. Step 4: Simplify right side
    2,781.72x = 3,044,815.08
  5. Step 5: Solve for x
    x = 3,044,815.08/2,781.72
  6. Step 6: Final answer
    x = 1,094.58

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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.