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Finding the Fourth Proportional to 3,202.78, 4,806.02 and 1,353.77

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Solution

The fourth proportional to 3,202.78, 4,806.02 and 1,353.77 is: 2,031.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.78 : 4,806.02 = 1,353.77 : x
  2. Step 2: Convert to fraction form
    3,202.78/4,806.02 = 1,353.77/x
  3. Step 3: Cross multiply
    3,202.78x = 4,806.02 × 1,353.77
  4. Step 4: Simplify right side
    3,202.78x = 6,506,238.93
  5. Step 5: Solve for x
    x = 6,506,238.93/3,202.78
  6. Step 6: Final answer
    x = 2,031.44

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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.