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Finding the Fourth Proportional to 1,694.40, 2,538.24 and 962.88

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Solution

The fourth proportional to 1,694.40, 2,538.24 and 962.88 is: 1,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.40 : 2,538.24 = 962.88 : x
  2. Step 2: Convert to fraction form
    1,694.40/2,538.24 = 962.88/x
  3. Step 3: Cross multiply
    1,694.40x = 2,538.24 × 962.88
  4. Step 4: Simplify right side
    1,694.40x = 2,444,020.53
  5. Step 5: Solve for x
    x = 2,444,020.53/1,694.40
  6. Step 6: Final answer
    x = 1,442.41

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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.