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Finding the Fourth Proportional to 2,221.84, 3,066.34 and 1,337.50

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Solution

The fourth proportional to 2,221.84, 3,066.34 and 1,337.50 is: 1,845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.84 : 3,066.34 = 1,337.50 : x
  2. Step 2: Convert to fraction form
    2,221.84/3,066.34 = 1,337.50/x
  3. Step 3: Cross multiply
    2,221.84x = 3,066.34 × 1,337.50
  4. Step 4: Simplify right side
    2,221.84x = 4,101,229.75
  5. Step 5: Solve for x
    x = 4,101,229.75/2,221.84
  6. Step 6: Final answer
    x = 1,845.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.