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Finding the Fourth Proportional to 1,999.40, 2,766.89 and 1,876.68

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Solution

The fourth proportional to 1,999.40, 2,766.89 and 1,876.68 is: 2,597.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.40 : 2,766.89 = 1,876.68 : x
  2. Step 2: Convert to fraction form
    1,999.40/2,766.89 = 1,876.68/x
  3. Step 3: Cross multiply
    1,999.40x = 2,766.89 × 1,876.68
  4. Step 4: Simplify right side
    1,999.40x = 5,192,571.82
  5. Step 5: Solve for x
    x = 5,192,571.82/1,999.40
  6. Step 6: Final answer
    x = 2,597.07

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1.5x scale

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.