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Finding the Fourth Proportional to 21,196, 31,794 and 6,604

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Solution

The fourth proportional to 21,196, 31,794 and 6,604 is: 9,906

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,196 : 31,794 = 6,604 : x
  2. Step 2: Convert to fraction form
    21,196/31,794 = 6,604/x
  3. Step 3: Cross multiply
    21,196x = 31,794 × 6,604
  4. Step 4: Simplify right side
    21,196x = 209,967,576
  5. Step 5: Solve for x
    x = 209,967,576/21,196
  6. Step 6: Final answer
    x = 9,906

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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.