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Finding the Fourth Proportional to 2,838.38, 3,917.03 and 1,660.10

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Solution

The fourth proportional to 2,838.38, 3,917.03 and 1,660.10 is: 2,290.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.38 : 3,917.03 = 1,660.10 : x
  2. Step 2: Convert to fraction form
    2,838.38/3,917.03 = 1,660.10/x
  3. Step 3: Cross multiply
    2,838.38x = 3,917.03 × 1,660.10
  4. Step 4: Simplify right side
    2,838.38x = 6,502,633.62
  5. Step 5: Solve for x
    x = 6,502,633.62/2,838.38
  6. Step 6: Final answer
    x = 2,290.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.