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Finding the Fourth Proportional to 18,864, 25,990.80 and 14,063.52

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Solution

The fourth proportional to 18,864, 25,990.80 and 14,063.52 is: 19,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,864 : 25,990.80 = 14,063.52 : x
  2. Step 2: Convert to fraction form
    18,864/25,990.80 = 14,063.52/x
  3. Step 3: Cross multiply
    18,864x = 25,990.80 × 14,063.52
  4. Step 4: Simplify right side
    18,864x = 365,522,135.62
  5. Step 5: Solve for x
    x = 365,522,135.62/18,864
  6. Step 6: Final answer
    x = 19,376.70

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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.