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Finding the Fourth Proportional to 10,270.62, 15,402.42 and 3,343.50

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Solution

The fourth proportional to 10,270.62, 15,402.42 and 3,343.50 is: 5,014.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.62 : 15,402.42 = 3,343.50 : x
  2. Step 2: Convert to fraction form
    10,270.62/15,402.42 = 3,343.50/x
  3. Step 3: Cross multiply
    10,270.62x = 15,402.42 × 3,343.50
  4. Step 4: Simplify right side
    10,270.62x = 51,497,991.27
  5. Step 5: Solve for x
    x = 51,497,991.27/10,270.62
  6. Step 6: Final answer
    x = 5,014.11

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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.