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Finding the Fourth Proportional to 2,881.75, 4,322.09 and 801.23

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Solution

The fourth proportional to 2,881.75, 4,322.09 and 801.23 is: 1,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.75 : 4,322.09 = 801.23 : x
  2. Step 2: Convert to fraction form
    2,881.75/4,322.09 = 801.23/x
  3. Step 3: Cross multiply
    2,881.75x = 4,322.09 × 801.23
  4. Step 4: Simplify right side
    2,881.75x = 3,462,988.17
  5. Step 5: Solve for x
    x = 3,462,988.17/2,881.75
  6. Step 6: Final answer
    x = 1,201.70

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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.