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Finding the Fourth Proportional to 1,744.06, 2,612.82 and 876.28

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Solution

The fourth proportional to 1,744.06, 2,612.82 and 876.28 is: 1,312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.06 : 2,612.82 = 876.28 : x
  2. Step 2: Convert to fraction form
    1,744.06/2,612.82 = 876.28/x
  3. Step 3: Cross multiply
    1,744.06x = 2,612.82 × 876.28
  4. Step 4: Simplify right side
    1,744.06x = 2,289,561.91
  5. Step 5: Solve for x
    x = 2,289,561.91/1,744.06
  6. Step 6: Final answer
    x = 1,312.78

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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.