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Finding the Fourth Proportional to 2,272.40, 3,404.40 and 1,174.08

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Solution

The fourth proportional to 2,272.40, 3,404.40 and 1,174.08 is: 1,758.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.40 : 3,404.40 = 1,174.08 : x
  2. Step 2: Convert to fraction form
    2,272.40/3,404.40 = 1,174.08/x
  3. Step 3: Cross multiply
    2,272.40x = 3,404.40 × 1,174.08
  4. Step 4: Simplify right side
    2,272.40x = 3,997,037.95
  5. Step 5: Solve for x
    x = 3,997,037.95/2,272.40
  6. Step 6: Final answer
    x = 1,758.95

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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.