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Finding the Fourth Proportional to 2,190.33, 3,285.18 and 891.90

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Solution

The fourth proportional to 2,190.33, 3,285.18 and 891.90 is: 1,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.33 : 3,285.18 = 891.90 : x
  2. Step 2: Convert to fraction form
    2,190.33/3,285.18 = 891.90/x
  3. Step 3: Cross multiply
    2,190.33x = 3,285.18 × 891.90
  4. Step 4: Simplify right side
    2,190.33x = 2,930,052.04
  5. Step 5: Solve for x
    x = 2,930,052.04/2,190.33
  6. Step 6: Final answer
    x = 1,337.72

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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.