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Finding the Fourth Proportional to 18,261.84, 27,375.72 and 9,929.52

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Solution

The fourth proportional to 18,261.84, 27,375.72 and 9,929.52 is: 14,885.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,261.84 : 27,375.72 = 9,929.52 : x
  2. Step 2: Convert to fraction form
    18,261.84/27,375.72 = 9,929.52/x
  3. Step 3: Cross multiply
    18,261.84x = 27,375.72 × 9,929.52
  4. Step 4: Simplify right side
    18,261.84x = 271,827,759.25
  5. Step 5: Solve for x
    x = 271,827,759.25/18,261.84
  6. Step 6: Final answer
    x = 14,885.01

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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.