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Finding the Fourth Proportional to 7,842.92, 11,763.82 and 1,999.56

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Solution

The fourth proportional to 7,842.92, 11,763.82 and 1,999.56 is: 2,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.92 : 11,763.82 = 1,999.56 : x
  2. Step 2: Convert to fraction form
    7,842.92/11,763.82 = 1,999.56/x
  3. Step 3: Cross multiply
    7,842.92x = 11,763.82 × 1,999.56
  4. Step 4: Simplify right side
    7,842.92x = 23,522,463.92
  5. Step 5: Solve for x
    x = 23,522,463.92/7,842.92
  6. Step 6: Final answer
    x = 2,999.20

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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.