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Finding the Fourth Proportional to 1,991.71, 2,988.87 and 759.14

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Solution

The fourth proportional to 1,991.71, 2,988.87 and 759.14 is: 1,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.71 : 2,988.87 = 759.14 : x
  2. Step 2: Convert to fraction form
    1,991.71/2,988.87 = 759.14/x
  3. Step 3: Cross multiply
    1,991.71x = 2,988.87 × 759.14
  4. Step 4: Simplify right side
    1,991.71x = 2,268,970.77
  5. Step 5: Solve for x
    x = 2,268,970.77/1,991.71
  6. Step 6: Final answer
    x = 1,139.21

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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.