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Finding the Fourth Proportional to 15,856, 23,784 and 6,622

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Solution

The fourth proportional to 15,856, 23,784 and 6,622 is: 9,933

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856 : 23,784 = 6,622 : x
  2. Step 2: Convert to fraction form
    15,856/23,784 = 6,622/x
  3. Step 3: Cross multiply
    15,856x = 23,784 × 6,622
  4. Step 4: Simplify right side
    15,856x = 157,497,648
  5. Step 5: Solve for x
    x = 157,497,648/15,856
  6. Step 6: Final answer
    x = 9,933

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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.