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Finding the Fourth Proportional to 2,931.59, 4,396.67 and 851.03

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Solution

The fourth proportional to 2,931.59, 4,396.67 and 851.03 is: 1,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.59 : 4,396.67 = 851.03 : x
  2. Step 2: Convert to fraction form
    2,931.59/4,396.67 = 851.03/x
  3. Step 3: Cross multiply
    2,931.59x = 4,396.67 × 851.03
  4. Step 4: Simplify right side
    2,931.59x = 3,741,694.70
  5. Step 5: Solve for x
    x = 3,741,694.70/2,931.59
  6. Step 6: Final answer
    x = 1,276.34

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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.