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Finding the Fourth Proportional to 18,367.83, 25,348.14 and 10,409.78

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Solution

The fourth proportional to 18,367.83, 25,348.14 and 10,409.78 is: 14,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,367.83 : 25,348.14 = 10,409.78 : x
  2. Step 2: Convert to fraction form
    18,367.83/25,348.14 = 10,409.78/x
  3. Step 3: Cross multiply
    18,367.83x = 25,348.14 × 10,409.78
  4. Step 4: Simplify right side
    18,367.83x = 263,868,624.18
  5. Step 5: Solve for x
    x = 263,868,624.18/18,367.83
  6. Step 6: Final answer
    x = 14,365.80

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