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Finding the Fourth Proportional to 21,606, 32,409 and 7,014

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Solution

The fourth proportional to 21,606, 32,409 and 7,014 is: 10,521

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,606 : 32,409 = 7,014 : x
  2. Step 2: Convert to fraction form
    21,606/32,409 = 7,014/x
  3. Step 3: Cross multiply
    21,606x = 32,409 × 7,014
  4. Step 4: Simplify right side
    21,606x = 227,316,726
  5. Step 5: Solve for x
    x = 227,316,726/21,606
  6. Step 6: Final answer
    x = 10,521

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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.