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Finding the Fourth Proportional to 2,782.01, 4,172.34 and 932.65

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Solution

The fourth proportional to 2,782.01, 4,172.34 and 932.65 is: 1,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.01 : 4,172.34 = 932.65 : x
  2. Step 2: Convert to fraction form
    2,782.01/4,172.34 = 932.65/x
  3. Step 3: Cross multiply
    2,782.01x = 4,172.34 × 932.65
  4. Step 4: Simplify right side
    2,782.01x = 3,891,325.97
  5. Step 5: Solve for x
    x = 3,891,325.97/2,782.01
  6. Step 6: Final answer
    x = 1,398.74

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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.