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Finding the Fourth Proportional to 10,578, 15,867 and 4,422

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Solution

The fourth proportional to 10,578, 15,867 and 4,422 is: 6,633

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578 : 15,867 = 4,422 : x
  2. Step 2: Convert to fraction form
    10,578/15,867 = 4,422/x
  3. Step 3: Cross multiply
    10,578x = 15,867 × 4,422
  4. Step 4: Simplify right side
    10,578x = 70,163,874
  5. Step 5: Solve for x
    x = 70,163,874/10,578
  6. Step 6: Final answer
    x = 6,633

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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.