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Finding the Fourth Proportional to 2,346.66, 3,522.01 and 1,221.72

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Solution

The fourth proportional to 2,346.66, 3,522.01 and 1,221.72 is: 1,833.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.66 : 3,522.01 = 1,221.72 : x
  2. Step 2: Convert to fraction form
    2,346.66/3,522.01 = 1,221.72/x
  3. Step 3: Cross multiply
    2,346.66x = 3,522.01 × 1,221.72
  4. Step 4: Simplify right side
    2,346.66x = 4,302,910.06
  5. Step 5: Solve for x
    x = 4,302,910.06/2,346.66
  6. Step 6: Final answer
    x = 1,833.63

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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.