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Finding the Fourth Proportional to 1,680, 2,519.73 and 1,191.57

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Solution

The fourth proportional to 1,680, 2,519.73 and 1,191.57 is: 1,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680 : 2,519.73 = 1,191.57 : x
  2. Step 2: Convert to fraction form
    1,680/2,519.73 = 1,191.57/x
  3. Step 3: Cross multiply
    1,680x = 2,519.73 × 1,191.57
  4. Step 4: Simplify right side
    1,680x = 3,002,434.68
  5. Step 5: Solve for x
    x = 3,002,434.68/1,680
  6. Step 6: Final answer
    x = 1,787.16

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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.