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Finding the Fourth Proportional to 3,200.76, 4,801.70 and 1,469.56

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Solution

The fourth proportional to 3,200.76, 4,801.70 and 1,469.56 is: 2,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.76 : 4,801.70 = 1,469.56 : x
  2. Step 2: Convert to fraction form
    3,200.76/4,801.70 = 1,469.56/x
  3. Step 3: Cross multiply
    3,200.76x = 4,801.70 × 1,469.56
  4. Step 4: Simplify right side
    3,200.76x = 7,056,386.25
  5. Step 5: Solve for x
    x = 7,056,386.25/3,200.76
  6. Step 6: Final answer
    x = 2,204.60

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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.