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Finding the Fourth Proportional to 2,881.70, 4,322.85 and 801.71

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Solution

The fourth proportional to 2,881.70, 4,322.85 and 801.71 is: 1,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.70 : 4,322.85 = 801.71 : x
  2. Step 2: Convert to fraction form
    2,881.70/4,322.85 = 801.71/x
  3. Step 3: Cross multiply
    2,881.70x = 4,322.85 × 801.71
  4. Step 4: Simplify right side
    2,881.70x = 3,465,672.07
  5. Step 5: Solve for x
    x = 3,465,672.07/2,881.70
  6. Step 6: Final answer
    x = 1,202.65

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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.