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Finding the Fourth Proportional to 2,614.12, 3,920.40 and 764.66

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Solution

The fourth proportional to 2,614.12, 3,920.40 and 764.66 is: 1,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.12 : 3,920.40 = 764.66 : x
  2. Step 2: Convert to fraction form
    2,614.12/3,920.40 = 764.66/x
  3. Step 3: Cross multiply
    2,614.12x = 3,920.40 × 764.66
  4. Step 4: Simplify right side
    2,614.12x = 2,997,760.81
  5. Step 5: Solve for x
    x = 2,997,760.81/2,614.12
  6. Step 6: Final answer
    x = 1,146.76

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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.