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Finding the Fourth Proportional to 2,881.62, 4,318.34 and 2,221

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Solution

The fourth proportional to 2,881.62, 4,318.34 and 2,221 is: 3,328.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.62 : 4,318.34 = 2,221 : x
  2. Step 2: Convert to fraction form
    2,881.62/4,318.34 = 2,221/x
  3. Step 3: Cross multiply
    2,881.62x = 4,318.34 × 2,221
  4. Step 4: Simplify right side
    2,881.62x = 9,591,033.14
  5. Step 5: Solve for x
    x = 9,591,033.14/2,881.62
  6. Step 6: Final answer
    x = 3,328.35

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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.