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Finding the Fourth Proportional to 2,862.79, 3,949.48 and 1,742.83

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Solution

The fourth proportional to 2,862.79, 3,949.48 and 1,742.83 is: 2,404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.79 : 3,949.48 = 1,742.83 : x
  2. Step 2: Convert to fraction form
    2,862.79/3,949.48 = 1,742.83/x
  3. Step 3: Cross multiply
    2,862.79x = 3,949.48 × 1,742.83
  4. Step 4: Simplify right side
    2,862.79x = 6,883,272.23
  5. Step 5: Solve for x
    x = 6,883,272.23/2,862.79
  6. Step 6: Final answer
    x = 2,404.39

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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.