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Finding the Fourth Proportional to 1,375.44, 1,901.07 and 1,216.95

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Solution

The fourth proportional to 1,375.44, 1,901.07 and 1,216.95 is: 1,682.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.44 : 1,901.07 = 1,216.95 : x
  2. Step 2: Convert to fraction form
    1,375.44/1,901.07 = 1,216.95/x
  3. Step 3: Cross multiply
    1,375.44x = 1,901.07 × 1,216.95
  4. Step 4: Simplify right side
    1,375.44x = 2,313,507.14
  5. Step 5: Solve for x
    x = 2,313,507.14/1,375.44
  6. Step 6: Final answer
    x = 1,682.01

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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.