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Finding the Fourth Proportional to 1,809.95, 2,713.10 and 1,591.25

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Solution

The fourth proportional to 1,809.95, 2,713.10 and 1,591.25 is: 2,385.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.95 : 2,713.10 = 1,591.25 : x
  2. Step 2: Convert to fraction form
    1,809.95/2,713.10 = 1,591.25/x
  3. Step 3: Cross multiply
    1,809.95x = 2,713.10 × 1,591.25
  4. Step 4: Simplify right side
    1,809.95x = 4,317,198.85
  5. Step 5: Solve for x
    x = 4,317,198.85/1,809.95
  6. Step 6: Final answer
    x = 2,385.27

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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.