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Finding the Fourth Proportional to 20,232, 30,348 and 9,288

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Solution

The fourth proportional to 20,232, 30,348 and 9,288 is: 13,932

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232 : 30,348 = 9,288 : x
  2. Step 2: Convert to fraction form
    20,232/30,348 = 9,288/x
  3. Step 3: Cross multiply
    20,232x = 30,348 × 9,288
  4. Step 4: Simplify right side
    20,232x = 281,872,224
  5. Step 5: Solve for x
    x = 281,872,224/20,232
  6. Step 6: Final answer
    x = 13,932

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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.