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Finding the Fourth Proportional to 10,143.40, 15,213.90 and 2,747.40

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Solution

The fourth proportional to 10,143.40, 15,213.90 and 2,747.40 is: 4,120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.40 : 15,213.90 = 2,747.40 : x
  2. Step 2: Convert to fraction form
    10,143.40/15,213.90 = 2,747.40/x
  3. Step 3: Cross multiply
    10,143.40x = 15,213.90 × 2,747.40
  4. Step 4: Simplify right side
    10,143.40x = 41,798,668.86
  5. Step 5: Solve for x
    x = 41,798,668.86/10,143.40
  6. Step 6: Final answer
    x = 4,120.77

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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.