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Finding the Fourth Proportional to 11,842.20, 17,747.10 and 7,882.20

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Solution

The fourth proportional to 11,842.20, 17,747.10 and 7,882.20 is: 11,812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.20 : 17,747.10 = 7,882.20 : x
  2. Step 2: Convert to fraction form
    11,842.20/17,747.10 = 7,882.20/x
  3. Step 3: Cross multiply
    11,842.20x = 17,747.10 × 7,882.20
  4. Step 4: Simplify right side
    11,842.20x = 139,886,191.62
  5. Step 5: Solve for x
    x = 139,886,191.62/11,842.20
  6. Step 6: Final answer
    x = 11,812.52

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1.5x scale

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.