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Finding the Fourth Proportional to 21,468, 32,202 and 9,156

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Solution

The fourth proportional to 21,468, 32,202 and 9,156 is: 13,734

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,468 : 32,202 = 9,156 : x
  2. Step 2: Convert to fraction form
    21,468/32,202 = 9,156/x
  3. Step 3: Cross multiply
    21,468x = 32,202 × 9,156
  4. Step 4: Simplify right side
    21,468x = 294,841,512
  5. Step 5: Solve for x
    x = 294,841,512/21,468
  6. Step 6: Final answer
    x = 13,734

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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.