Home / 1,568.36-2,163.94-947.24

Finding the Fourth Proportional to 1,568.36, 2,163.94 and 947.24

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Solution

The fourth proportional to 1,568.36, 2,163.94 and 947.24 is: 1,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.36 : 2,163.94 = 947.24 : x
  2. Step 2: Convert to fraction form
    1,568.36/2,163.94 = 947.24/x
  3. Step 3: Cross multiply
    1,568.36x = 2,163.94 × 947.24
  4. Step 4: Simplify right side
    1,568.36x = 2,049,770.53
  5. Step 5: Solve for x
    x = 2,049,770.53/1,568.36
  6. Step 6: Final answer
    x = 1,306.95

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Why These Related Problems?

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