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Finding the Fourth Proportional to 32,959.75, 49,439.20 and 8,000

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Solution

The fourth proportional to 32,959.75, 49,439.20 and 8,000 is: 11,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,959.75 : 49,439.20 = 8,000 : x
  2. Step 2: Convert to fraction form
    32,959.75/49,439.20 = 8,000/x
  3. Step 3: Cross multiply
    32,959.75x = 49,439.20 × 8,000
  4. Step 4: Simplify right side
    32,959.75x = 395,513,600
  5. Step 5: Solve for x
    x = 395,513,600/32,959.75
  6. Step 6: Final answer
    x = 11,999.90

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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.