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Finding the Fourth Proportional to 3,428.60, 4,747.02 and 3,255.80

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Solution

The fourth proportional to 3,428.60, 4,747.02 and 3,255.80 is: 4,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.60 : 4,747.02 = 3,255.80 : x
  2. Step 2: Convert to fraction form
    3,428.60/4,747.02 = 3,255.80/x
  3. Step 3: Cross multiply
    3,428.60x = 4,747.02 × 3,255.80
  4. Step 4: Simplify right side
    3,428.60x = 15,455,347.72
  5. Step 5: Solve for x
    x = 15,455,347.72/3,428.60
  6. Step 6: Final answer
    x = 4,507.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.