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Finding the Fourth Proportional to 1,999.50, 2,763.68 and 1,761.63

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Solution

The fourth proportional to 1,999.50, 2,763.68 and 1,761.63 is: 2,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.50 : 2,763.68 = 1,761.63 : x
  2. Step 2: Convert to fraction form
    1,999.50/2,763.68 = 1,761.63/x
  3. Step 3: Cross multiply
    1,999.50x = 2,763.68 × 1,761.63
  4. Step 4: Simplify right side
    1,999.50x = 4,868,581.60
  5. Step 5: Solve for x
    x = 4,868,581.60/1,999.50
  6. Step 6: Final answer
    x = 2,434.90

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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.