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Finding the Fourth Proportional to 2,707.92, 4,062.49 and 976.55

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Solution

The fourth proportional to 2,707.92, 4,062.49 and 976.55 is: 1,465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.92 : 4,062.49 = 976.55 : x
  2. Step 2: Convert to fraction form
    2,707.92/4,062.49 = 976.55/x
  3. Step 3: Cross multiply
    2,707.92x = 4,062.49 × 976.55
  4. Step 4: Simplify right side
    2,707.92x = 3,967,201.86
  5. Step 5: Solve for x
    x = 3,967,201.86/2,707.92
  6. Step 6: Final answer
    x = 1,465.04

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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.