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Finding the Fourth Proportional to 7,842.62, 11,763.85 and 1,999.21

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Solution

The fourth proportional to 7,842.62, 11,763.85 and 1,999.21 is: 2,998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.62 : 11,763.85 = 1,999.21 : x
  2. Step 2: Convert to fraction form
    7,842.62/11,763.85 = 1,999.21/x
  3. Step 3: Cross multiply
    7,842.62x = 11,763.85 × 1,999.21
  4. Step 4: Simplify right side
    7,842.62x = 23,518,406.56
  5. Step 5: Solve for x
    x = 23,518,406.56/7,842.62
  6. Step 6: Final answer
    x = 2,998.79

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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.