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Finding the Fourth Proportional to 2,862.26, 3,949.92 and 1,815.20

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Solution

The fourth proportional to 2,862.26, 3,949.92 and 1,815.20 is: 2,504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.26 : 3,949.92 = 1,815.20 : x
  2. Step 2: Convert to fraction form
    2,862.26/3,949.92 = 1,815.20/x
  3. Step 3: Cross multiply
    2,862.26x = 3,949.92 × 1,815.20
  4. Step 4: Simplify right side
    2,862.26x = 7,169,894.78
  5. Step 5: Solve for x
    x = 7,169,894.78/2,862.26
  6. Step 6: Final answer
    x = 2,504.98

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1.5x scale

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.