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Finding the Fourth Proportional to 3,255, 4,872.02 and 2,145.34

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Solution

The fourth proportional to 3,255, 4,872.02 and 2,145.34 is: 3,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255 : 4,872.02 = 2,145.34 : x
  2. Step 2: Convert to fraction form
    3,255/4,872.02 = 2,145.34/x
  3. Step 3: Cross multiply
    3,255x = 4,872.02 × 2,145.34
  4. Step 4: Simplify right side
    3,255x = 10,452,139.39
  5. Step 5: Solve for x
    x = 10,452,139.39/3,255
  6. Step 6: Final answer
    x = 3,211.10

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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.