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Finding the Fourth Proportional to 1,375.19, 2,059.36 and 962.39

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Solution

The fourth proportional to 1,375.19, 2,059.36 and 962.39 is: 1,441.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.19 : 2,059.36 = 962.39 : x
  2. Step 2: Convert to fraction form
    1,375.19/2,059.36 = 962.39/x
  3. Step 3: Cross multiply
    1,375.19x = 2,059.36 × 962.39
  4. Step 4: Simplify right side
    1,375.19x = 1,981,907.47
  5. Step 5: Solve for x
    x = 1,981,907.47/1,375.19
  6. Step 6: Final answer
    x = 1,441.19

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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.