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Finding the Fourth Proportional to 2,614.22, 3,921.69 and 765.47

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Solution

The fourth proportional to 2,614.22, 3,921.69 and 765.47 is: 1,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.22 : 3,921.69 = 765.47 : x
  2. Step 2: Convert to fraction form
    2,614.22/3,921.69 = 765.47/x
  3. Step 3: Cross multiply
    2,614.22x = 3,921.69 × 765.47
  4. Step 4: Simplify right side
    2,614.22x = 3,001,926.66
  5. Step 5: Solve for x
    x = 3,001,926.66/2,614.22
  6. Step 6: Final answer
    x = 1,148.31

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1.5x scale

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.