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Finding the Fourth Proportional to 6,422, 9,633 and 1,558

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Solution

The fourth proportional to 6,422, 9,633 and 1,558 is: 2,337

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422 : 9,633 = 1,558 : x
  2. Step 2: Convert to fraction form
    6,422/9,633 = 1,558/x
  3. Step 3: Cross multiply
    6,422x = 9,633 × 1,558
  4. Step 4: Simplify right side
    6,422x = 15,008,214
  5. Step 5: Solve for x
    x = 15,008,214/6,422
  6. Step 6: Final answer
    x = 2,337

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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.