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Finding the Fourth Proportional to 2,679.13, 4,018.74 and 731.38

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Solution

The fourth proportional to 2,679.13, 4,018.74 and 731.38 is: 1,097.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.13 : 4,018.74 = 731.38 : x
  2. Step 2: Convert to fraction form
    2,679.13/4,018.74 = 731.38/x
  3. Step 3: Cross multiply
    2,679.13x = 4,018.74 × 731.38
  4. Step 4: Simplify right side
    2,679.13x = 2,939,226.06
  5. Step 5: Solve for x
    x = 2,939,226.06/2,679.13
  6. Step 6: Final answer
    x = 1,097.08

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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.