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Finding the Fourth Proportional to 4,392.40, 6,601.40 and 3,829.20

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Solution

The fourth proportional to 4,392.40, 6,601.40 and 3,829.20 is: 5,754.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,392.40 : 6,601.40 = 3,829.20 : x
  2. Step 2: Convert to fraction form
    4,392.40/6,601.40 = 3,829.20/x
  3. Step 3: Cross multiply
    4,392.40x = 6,601.40 × 3,829.20
  4. Step 4: Simplify right side
    4,392.40x = 25,278,080.88
  5. Step 5: Solve for x
    x = 25,278,080.88/4,392.40
  6. Step 6: Final answer
    x = 5,754.96

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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.