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Finding the Fourth Proportional to 3,243.16, 4,865.88 and 1,600.87

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Solution

The fourth proportional to 3,243.16, 4,865.88 and 1,600.87 is: 2,401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.16 : 4,865.88 = 1,600.87 : x
  2. Step 2: Convert to fraction form
    3,243.16/4,865.88 = 1,600.87/x
  3. Step 3: Cross multiply
    3,243.16x = 4,865.88 × 1,600.87
  4. Step 4: Simplify right side
    3,243.16x = 7,789,641.32
  5. Step 5: Solve for x
    x = 7,789,641.32/3,243.16
  6. Step 6: Final answer
    x = 2,401.87

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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.