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Finding the Fourth Proportional to 1,262.53, 1,893.80 and 939.95

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Solution

The fourth proportional to 1,262.53, 1,893.80 and 939.95 is: 1,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.53 : 1,893.80 = 939.95 : x
  2. Step 2: Convert to fraction form
    1,262.53/1,893.80 = 939.95/x
  3. Step 3: Cross multiply
    1,262.53x = 1,893.80 × 939.95
  4. Step 4: Simplify right side
    1,262.53x = 1,780,063.14
  5. Step 5: Solve for x
    x = 1,780,063.14/1,262.53
  6. Step 6: Final answer
    x = 1,409.92

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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.