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Finding the Fourth Proportional to 2,876.90, 3,969.98 and 1,759.72

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Solution

The fourth proportional to 2,876.90, 3,969.98 and 1,759.72 is: 2,428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.90 : 3,969.98 = 1,759.72 : x
  2. Step 2: Convert to fraction form
    2,876.90/3,969.98 = 1,759.72/x
  3. Step 3: Cross multiply
    2,876.90x = 3,969.98 × 1,759.72
  4. Step 4: Simplify right side
    2,876.90x = 6,986,053.21
  5. Step 5: Solve for x
    x = 6,986,053.21/2,876.90
  6. Step 6: Final answer
    x = 2,428.33

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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.