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Finding the Fourth Proportional to 1,838.70, 2,752.92 and 959.29

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Solution

The fourth proportional to 1,838.70, 2,752.92 and 959.29 is: 1,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.70 : 2,752.92 = 959.29 : x
  2. Step 2: Convert to fraction form
    1,838.70/2,752.92 = 959.29/x
  3. Step 3: Cross multiply
    1,838.70x = 2,752.92 × 959.29
  4. Step 4: Simplify right side
    1,838.70x = 2,640,841.74
  5. Step 5: Solve for x
    x = 2,640,841.74/1,838.70
  6. Step 6: Final answer
    x = 1,436.25

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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.