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Finding the Fourth Proportional to 6,936.40, 10,402.02 and 2,255.20

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Solution

The fourth proportional to 6,936.40, 10,402.02 and 2,255.20 is: 3,381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936.40 : 10,402.02 = 2,255.20 : x
  2. Step 2: Convert to fraction form
    6,936.40/10,402.02 = 2,255.20/x
  3. Step 3: Cross multiply
    6,936.40x = 10,402.02 × 2,255.20
  4. Step 4: Simplify right side
    6,936.40x = 23,458,635.50
  5. Step 5: Solve for x
    x = 23,458,635.50/6,936.40
  6. Step 6: Final answer
    x = 3,381.96

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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.