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Finding the Fourth Proportional to 3,200.02, 4,800.03 and 1,252.78

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Solution

The fourth proportional to 3,200.02, 4,800.03 and 1,252.78 is: 1,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.02 : 4,800.03 = 1,252.78 : x
  2. Step 2: Convert to fraction form
    3,200.02/4,800.03 = 1,252.78/x
  3. Step 3: Cross multiply
    3,200.02x = 4,800.03 × 1,252.78
  4. Step 4: Simplify right side
    3,200.02x = 6,013,381.58
  5. Step 5: Solve for x
    x = 6,013,381.58/3,200.02
  6. Step 6: Final answer
    x = 1,879.17

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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.