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Finding the Fourth Proportional to 1,917.92, 2,876.60 and 917.04

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Solution

The fourth proportional to 1,917.92, 2,876.60 and 917.04 is: 1,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.92 : 2,876.60 = 917.04 : x
  2. Step 2: Convert to fraction form
    1,917.92/2,876.60 = 917.04/x
  3. Step 3: Cross multiply
    1,917.92x = 2,876.60 × 917.04
  4. Step 4: Simplify right side
    1,917.92x = 2,637,957.26
  5. Step 5: Solve for x
    x = 2,637,957.26/1,917.92
  6. Step 6: Final answer
    x = 1,375.43

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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.