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Finding the Fourth Proportional to 3,200.40, 4,801.52 and 1,009.44

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Solution

The fourth proportional to 3,200.40, 4,801.52 and 1,009.44 is: 1,514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.40 : 4,801.52 = 1,009.44 : x
  2. Step 2: Convert to fraction form
    3,200.40/4,801.52 = 1,009.44/x
  3. Step 3: Cross multiply
    3,200.40x = 4,801.52 × 1,009.44
  4. Step 4: Simplify right side
    3,200.40x = 4,846,846.35
  5. Step 5: Solve for x
    x = 4,846,846.35/3,200.40
  6. Step 6: Final answer
    x = 1,514.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.