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Finding the Fourth Proportional to 2,781.39, 4,172.07 and 729.39

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Solution

The fourth proportional to 2,781.39, 4,172.07 and 729.39 is: 1,094.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.39 : 4,172.07 = 729.39 : x
  2. Step 2: Convert to fraction form
    2,781.39/4,172.07 = 729.39/x
  3. Step 3: Cross multiply
    2,781.39x = 4,172.07 × 729.39
  4. Step 4: Simplify right side
    2,781.39x = 3,043,066.14
  5. Step 5: Solve for x
    x = 3,043,066.14/2,781.39
  6. Step 6: Final answer
    x = 1,094.08

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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.