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Finding the Fourth Proportional to 7,842.56, 11,767.87 and 5,211.87

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Solution

The fourth proportional to 7,842.56, 11,767.87 and 5,211.87 is: 7,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.56 : 11,767.87 = 5,211.87 : x
  2. Step 2: Convert to fraction form
    7,842.56/11,767.87 = 5,211.87/x
  3. Step 3: Cross multiply
    7,842.56x = 11,767.87 × 5,211.87
  4. Step 4: Simplify right side
    7,842.56x = 61,332,596.77
  5. Step 5: Solve for x
    x = 61,332,596.77/7,842.56
  6. Step 6: Final answer
    x = 7,820.48

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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.