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Finding the Fourth Proportional to 1,403.80, 1,936.56 and 932.52

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Solution

The fourth proportional to 1,403.80, 1,936.56 and 932.52 is: 1,286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.80 : 1,936.56 = 932.52 : x
  2. Step 2: Convert to fraction form
    1,403.80/1,936.56 = 932.52/x
  3. Step 3: Cross multiply
    1,403.80x = 1,936.56 × 932.52
  4. Step 4: Simplify right side
    1,403.80x = 1,805,880.93
  5. Step 5: Solve for x
    x = 1,805,880.93/1,403.80
  6. Step 6: Final answer
    x = 1,286.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.