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Finding the Fourth Proportional to 2,876.92, 4,315.98 and 928.97

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Solution

The fourth proportional to 2,876.92, 4,315.98 and 928.97 is: 1,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.92 : 4,315.98 = 928.97 : x
  2. Step 2: Convert to fraction form
    2,876.92/4,315.98 = 928.97/x
  3. Step 3: Cross multiply
    2,876.92x = 4,315.98 × 928.97
  4. Step 4: Simplify right side
    2,876.92x = 4,009,414.03
  5. Step 5: Solve for x
    x = 4,009,414.03/2,876.92
  6. Step 6: Final answer
    x = 1,393.65

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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.