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Finding the Fourth Proportional to 18,617.60, 25,692 and 10,233.92

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Solution

The fourth proportional to 18,617.60, 25,692 and 10,233.92 is: 14,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,617.60 : 25,692 = 10,233.92 : x
  2. Step 2: Convert to fraction form
    18,617.60/25,692 = 10,233.92/x
  3. Step 3: Cross multiply
    18,617.60x = 25,692 × 10,233.92
  4. Step 4: Simplify right side
    18,617.60x = 262,929,872.64
  5. Step 5: Solve for x
    x = 262,929,872.64/18,617.60
  6. Step 6: Final answer
    x = 14,122.65

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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.