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Finding the Fourth Proportional to 1,712.80, 2,363.92 and 1,450.40

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Solution

The fourth proportional to 1,712.80, 2,363.92 and 1,450.40 is: 2,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.80 : 2,363.92 = 1,450.40 : x
  2. Step 2: Convert to fraction form
    1,712.80/2,363.92 = 1,450.40/x
  3. Step 3: Cross multiply
    1,712.80x = 2,363.92 × 1,450.40
  4. Step 4: Simplify right side
    1,712.80x = 3,428,629.57
  5. Step 5: Solve for x
    x = 3,428,629.57/1,712.80
  6. Step 6: Final answer
    x = 2,001.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.