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Finding the Fourth Proportional to 2,199.20, 3,296.94 and 901.58

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Solution

The fourth proportional to 2,199.20, 3,296.94 and 901.58 is: 1,351.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.20 : 3,296.94 = 901.58 : x
  2. Step 2: Convert to fraction form
    2,199.20/3,296.94 = 901.58/x
  3. Step 3: Cross multiply
    2,199.20x = 3,296.94 × 901.58
  4. Step 4: Simplify right side
    2,199.20x = 2,972,455.17
  5. Step 5: Solve for x
    x = 2,972,455.17/2,199.20
  6. Step 6: Final answer
    x = 1,351.61

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1.5x scale

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.