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Finding the Fourth Proportional to 21,236, 31,854 and 6,644

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Solution

The fourth proportional to 21,236, 31,854 and 6,644 is: 9,966

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,236 : 31,854 = 6,644 : x
  2. Step 2: Convert to fraction form
    21,236/31,854 = 6,644/x
  3. Step 3: Cross multiply
    21,236x = 31,854 × 6,644
  4. Step 4: Simplify right side
    21,236x = 211,637,976
  5. Step 5: Solve for x
    x = 211,637,976/21,236
  6. Step 6: Final answer
    x = 9,966

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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.