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Finding the Fourth Proportional to 1,047.74, 1,568.57 and 936.56

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Solution

The fourth proportional to 1,047.74, 1,568.57 and 936.56 is: 1,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.74 : 1,568.57 = 936.56 : x
  2. Step 2: Convert to fraction form
    1,047.74/1,568.57 = 936.56/x
  3. Step 3: Cross multiply
    1,047.74x = 1,568.57 × 936.56
  4. Step 4: Simplify right side
    1,047.74x = 1,469,059.16
  5. Step 5: Solve for x
    x = 1,469,059.16/1,047.74
  6. Step 6: Final answer
    x = 1,402.13

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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.