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Finding the Fourth Proportional to 1,999.89, 2,999.30 and 959.18

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Solution

The fourth proportional to 1,999.89, 2,999.30 and 959.18 is: 1,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.89 : 2,999.30 = 959.18 : x
  2. Step 2: Convert to fraction form
    1,999.89/2,999.30 = 959.18/x
  3. Step 3: Cross multiply
    1,999.89x = 2,999.30 × 959.18
  4. Step 4: Simplify right side
    1,999.89x = 2,876,848.78
  5. Step 5: Solve for x
    x = 2,876,848.78/1,999.89
  6. Step 6: Final answer
    x = 1,438.50

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1.5x scale

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.