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Finding the Fourth Proportional to 3,159.96, 4,729.60 and 2,326.78

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Solution

The fourth proportional to 3,159.96, 4,729.60 and 2,326.78 is: 3,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.96 : 4,729.60 = 2,326.78 : x
  2. Step 2: Convert to fraction form
    3,159.96/4,729.60 = 2,326.78/x
  3. Step 3: Cross multiply
    3,159.96x = 4,729.60 × 2,326.78
  4. Step 4: Simplify right side
    3,159.96x = 11,004,738.69
  5. Step 5: Solve for x
    x = 11,004,738.69/3,159.96
  6. Step 6: Final answer
    x = 3,482.56

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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.