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Finding the Fourth Proportional to 2,488.40, 3,732.60 and 2,002.40

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Solution

The fourth proportional to 2,488.40, 3,732.60 and 2,002.40 is: 3,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.40 : 3,732.60 = 2,002.40 : x
  2. Step 2: Convert to fraction form
    2,488.40/3,732.60 = 2,002.40/x
  3. Step 3: Cross multiply
    2,488.40x = 3,732.60 × 2,002.40
  4. Step 4: Simplify right side
    2,488.40x = 7,474,158.24
  5. Step 5: Solve for x
    x = 7,474,158.24/2,488.40
  6. Step 6: Final answer
    x = 3,003.60

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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.