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Finding the Fourth Proportional to 21,466, 32,199 and 9,154

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Solution

The fourth proportional to 21,466, 32,199 and 9,154 is: 13,731

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,466 : 32,199 = 9,154 : x
  2. Step 2: Convert to fraction form
    21,466/32,199 = 9,154/x
  3. Step 3: Cross multiply
    21,466x = 32,199 × 9,154
  4. Step 4: Simplify right side
    21,466x = 294,749,646
  5. Step 5: Solve for x
    x = 294,749,646/21,466
  6. Step 6: Final answer
    x = 13,731

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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.