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Finding the Fourth Proportional to 2,469.92, 3,702.08 and 1,007.20

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Solution

The fourth proportional to 2,469.92, 3,702.08 and 1,007.20 is: 1,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.92 : 3,702.08 = 1,007.20 : x
  2. Step 2: Convert to fraction form
    2,469.92/3,702.08 = 1,007.20/x
  3. Step 3: Cross multiply
    2,469.92x = 3,702.08 × 1,007.20
  4. Step 4: Simplify right side
    2,469.92x = 3,728,734.98
  5. Step 5: Solve for x
    x = 3,728,734.98/2,469.92
  6. Step 6: Final answer
    x = 1,509.66

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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.