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Finding the Fourth Proportional to 1,286.82, 1,928.07 and 847.53

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Solution

The fourth proportional to 1,286.82, 1,928.07 and 847.53 is: 1,269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.82 : 1,928.07 = 847.53 : x
  2. Step 2: Convert to fraction form
    1,286.82/1,928.07 = 847.53/x
  3. Step 3: Cross multiply
    1,286.82x = 1,928.07 × 847.53
  4. Step 4: Simplify right side
    1,286.82x = 1,634,097.17
  5. Step 5: Solve for x
    x = 1,634,097.17/1,286.82
  6. Step 6: Final answer
    x = 1,269.87

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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.