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Finding the Fourth Proportional to 20,232, 27,924 and 11,400

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Solution

The fourth proportional to 20,232, 27,924 and 11,400 is: 15,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232 : 27,924 = 11,400 : x
  2. Step 2: Convert to fraction form
    20,232/27,924 = 11,400/x
  3. Step 3: Cross multiply
    20,232x = 27,924 × 11,400
  4. Step 4: Simplify right side
    20,232x = 318,333,600
  5. Step 5: Solve for x
    x = 318,333,600/20,232
  6. Step 6: Final answer
    x = 15,734.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.