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Finding the Fourth Proportional to 21,338, 32,007 and 6,746

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Solution

The fourth proportional to 21,338, 32,007 and 6,746 is: 10,119

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,338 : 32,007 = 6,746 : x
  2. Step 2: Convert to fraction form
    21,338/32,007 = 6,746/x
  3. Step 3: Cross multiply
    21,338x = 32,007 × 6,746
  4. Step 4: Simplify right side
    21,338x = 215,919,222
  5. Step 5: Solve for x
    x = 215,919,222/21,338
  6. Step 6: Final answer
    x = 10,119

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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.