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Finding the Fourth Proportional to 2,378.97, 3,569.37 and 991.95

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Solution

The fourth proportional to 2,378.97, 3,569.37 and 991.95 is: 1,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.97 : 3,569.37 = 991.95 : x
  2. Step 2: Convert to fraction form
    2,378.97/3,569.37 = 991.95/x
  3. Step 3: Cross multiply
    2,378.97x = 3,569.37 × 991.95
  4. Step 4: Simplify right side
    2,378.97x = 3,540,619.47
  5. Step 5: Solve for x
    x = 3,540,619.47/2,378.97
  6. Step 6: Final answer
    x = 1,488.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.