Home / 10,865-16,286.46-4,282.12

Finding the Fourth Proportional to 10,865, 16,286.46 and 4,282.12

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Solution

The fourth proportional to 10,865, 16,286.46 and 4,282.12 is: 6,418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865 : 16,286.46 = 4,282.12 : x
  2. Step 2: Convert to fraction form
    10,865/16,286.46 = 4,282.12/x
  3. Step 3: Cross multiply
    10,865x = 16,286.46 × 4,282.12
  4. Step 4: Simplify right side
    10,865x = 69,740,576.10
  5. Step 5: Solve for x
    x = 69,740,576.10/10,865
  6. Step 6: Final answer
    x = 6,418.83

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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.