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Finding the Fourth Proportional to 2,798.72, 3,863.04 and 1,869.92

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Solution

The fourth proportional to 2,798.72, 3,863.04 and 1,869.92 is: 2,581.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.72 : 3,863.04 = 1,869.92 : x
  2. Step 2: Convert to fraction form
    2,798.72/3,863.04 = 1,869.92/x
  3. Step 3: Cross multiply
    2,798.72x = 3,863.04 × 1,869.92
  4. Step 4: Simplify right side
    2,798.72x = 7,223,575.76
  5. Step 5: Solve for x
    x = 7,223,575.76/2,798.72
  6. Step 6: Final answer
    x = 2,581.03

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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.