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Finding the Fourth Proportional to 2,679.31, 4,018.85 and 731.51

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Solution

The fourth proportional to 2,679.31, 4,018.85 and 731.51 is: 1,097.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.31 : 4,018.85 = 731.51 : x
  2. Step 2: Convert to fraction form
    2,679.31/4,018.85 = 731.51/x
  3. Step 3: Cross multiply
    2,679.31x = 4,018.85 × 731.51
  4. Step 4: Simplify right side
    2,679.31x = 2,939,825.31
  5. Step 5: Solve for x
    x = 2,939,825.31/2,679.31
  6. Step 6: Final answer
    x = 1,097.23

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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.