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Finding the Fourth Proportional to 1,838.34, 2,761.01 and 1,763.49

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Solution

The fourth proportional to 1,838.34, 2,761.01 and 1,763.49 is: 2,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.34 : 2,761.01 = 1,763.49 : x
  2. Step 2: Convert to fraction form
    1,838.34/2,761.01 = 1,763.49/x
  3. Step 3: Cross multiply
    1,838.34x = 2,761.01 × 1,763.49
  4. Step 4: Simplify right side
    1,838.34x = 4,869,004.71
  5. Step 5: Solve for x
    x = 4,869,004.71/1,838.34
  6. Step 6: Final answer
    x = 2,648.59

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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.