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Finding the Fourth Proportional to 5,765.81, 7,956.80 and 3,247.86

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Solution

The fourth proportional to 5,765.81, 7,956.80 and 3,247.86 is: 4,482.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.81 : 7,956.80 = 3,247.86 : x
  2. Step 2: Convert to fraction form
    5,765.81/7,956.80 = 3,247.86/x
  3. Step 3: Cross multiply
    5,765.81x = 7,956.80 × 3,247.86
  4. Step 4: Simplify right side
    5,765.81x = 25,842,556.21
  5. Step 5: Solve for x
    x = 25,842,556.21/5,765.81
  6. Step 6: Final answer
    x = 4,482.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.