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Finding the Fourth Proportional to 3,200.46, 4,801.50 and 1,009.20

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Solution

The fourth proportional to 3,200.46, 4,801.50 and 1,009.20 is: 1,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.46 : 4,801.50 = 1,009.20 : x
  2. Step 2: Convert to fraction form
    3,200.46/4,801.50 = 1,009.20/x
  3. Step 3: Cross multiply
    3,200.46x = 4,801.50 × 1,009.20
  4. Step 4: Simplify right side
    3,200.46x = 4,845,673.80
  5. Step 5: Solve for x
    x = 4,845,673.80/3,200.46
  6. Step 6: Final answer
    x = 1,514.06

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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.