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Finding the Fourth Proportional to 2,862.80, 3,947.54 and 2,486.45

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Solution

The fourth proportional to 2,862.80, 3,947.54 and 2,486.45 is: 3,428.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.80 : 3,947.54 = 2,486.45 : x
  2. Step 2: Convert to fraction form
    2,862.80/3,947.54 = 2,486.45/x
  3. Step 3: Cross multiply
    2,862.80x = 3,947.54 × 2,486.45
  4. Step 4: Simplify right side
    2,862.80x = 9,815,360.83
  5. Step 5: Solve for x
    x = 9,815,360.83/2,862.80
  6. Step 6: Final answer
    x = 3,428.59

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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.