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Finding the Fourth Proportional to 2,711.00, 4,066.14 and 763.36

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Solution

The fourth proportional to 2,711.00, 4,066.14 and 763.36 is: 1,144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.00 : 4,066.14 = 763.36 : x
  2. Step 2: Convert to fraction form
    2,711.00/4,066.14 = 763.36/x
  3. Step 3: Cross multiply
    2,711.00x = 4,066.14 × 763.36
  4. Step 4: Simplify right side
    2,711.00x = 3,103,921.33
  5. Step 5: Solve for x
    x = 3,103,921.33/2,711.00
  6. Step 6: Final answer
    x = 1,144.93

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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.