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Finding the Fourth Proportional to 1,781, 2,669.82 and 1,350.04

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Solution

The fourth proportional to 1,781, 2,669.82 and 1,350.04 is: 2,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781 : 2,669.82 = 1,350.04 : x
  2. Step 2: Convert to fraction form
    1,781/2,669.82 = 1,350.04/x
  3. Step 3: Cross multiply
    1,781x = 2,669.82 × 1,350.04
  4. Step 4: Simplify right side
    1,781x = 3,604,363.79
  5. Step 5: Solve for x
    x = 3,604,363.79/1,781
  6. Step 6: Final answer
    x = 2,023.79

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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.