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Finding the Fourth Proportional to 21,608, 32,412 and 7,016

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Solution

The fourth proportional to 21,608, 32,412 and 7,016 is: 10,524

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,608 : 32,412 = 7,016 : x
  2. Step 2: Convert to fraction form
    21,608/32,412 = 7,016/x
  3. Step 3: Cross multiply
    21,608x = 32,412 × 7,016
  4. Step 4: Simplify right side
    21,608x = 227,402,592
  5. Step 5: Solve for x
    x = 227,402,592/21,608
  6. Step 6: Final answer
    x = 10,524

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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.