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Finding the Fourth Proportional to 3,327.63, 4,991.41 and 862.45

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Solution

The fourth proportional to 3,327.63, 4,991.41 and 862.45 is: 1,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327.63 : 4,991.41 = 862.45 : x
  2. Step 2: Convert to fraction form
    3,327.63/4,991.41 = 862.45/x
  3. Step 3: Cross multiply
    3,327.63x = 4,991.41 × 862.45
  4. Step 4: Simplify right side
    3,327.63x = 4,304,841.55
  5. Step 5: Solve for x
    x = 4,304,841.55/3,327.63
  6. Step 6: Final answer
    x = 1,293.67

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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.