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Finding the Fourth Proportional to 2,862.97, 3,949.72 and 1,800.36

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Solution

The fourth proportional to 2,862.97, 3,949.72 and 1,800.36 is: 2,483.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.97 : 3,949.72 = 1,800.36 : x
  2. Step 2: Convert to fraction form
    2,862.97/3,949.72 = 1,800.36/x
  3. Step 3: Cross multiply
    2,862.97x = 3,949.72 × 1,800.36
  4. Step 4: Simplify right side
    2,862.97x = 7,110,913.40
  5. Step 5: Solve for x
    x = 7,110,913.40/2,862.97
  6. Step 6: Final answer
    x = 2,483.76

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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.