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Finding the Fourth Proportional to 3,218.74, 4,815.65 and 2,400.64

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Solution

The fourth proportional to 3,218.74, 4,815.65 and 2,400.64 is: 3,591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.74 : 4,815.65 = 2,400.64 : x
  2. Step 2: Convert to fraction form
    3,218.74/4,815.65 = 2,400.64/x
  3. Step 3: Cross multiply
    3,218.74x = 4,815.65 × 2,400.64
  4. Step 4: Simplify right side
    3,218.74x = 11,560,635.98
  5. Step 5: Solve for x
    x = 11,560,635.98/3,218.74
  6. Step 6: Final answer
    x = 3,591.67

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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.