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Finding the Fourth Proportional to 2,881.25, 4,321.84 and 801.24

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Solution

The fourth proportional to 2,881.25, 4,321.84 and 801.24 is: 1,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.25 : 4,321.84 = 801.24 : x
  2. Step 2: Convert to fraction form
    2,881.25/4,321.84 = 801.24/x
  3. Step 3: Cross multiply
    2,881.25x = 4,321.84 × 801.24
  4. Step 4: Simplify right side
    2,881.25x = 3,462,831.08
  5. Step 5: Solve for x
    x = 3,462,831.08/2,881.25
  6. Step 6: Final answer
    x = 1,201.85

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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.