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Finding the Fourth Proportional to 21,614, 32,421 and 5,198

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Solution

The fourth proportional to 21,614, 32,421 and 5,198 is: 7,797

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614 : 32,421 = 5,198 : x
  2. Step 2: Convert to fraction form
    21,614/32,421 = 5,198/x
  3. Step 3: Cross multiply
    21,614x = 32,421 × 5,198
  4. Step 4: Simplify right side
    21,614x = 168,524,358
  5. Step 5: Solve for x
    x = 168,524,358/21,614
  6. Step 6: Final answer
    x = 7,797

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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.