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Finding the Fourth Proportional to 18,675.76, 25,772.44 and 10,178.40

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Solution

The fourth proportional to 18,675.76, 25,772.44 and 10,178.40 is: 14,046.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,675.76 : 25,772.44 = 10,178.40 : x
  2. Step 2: Convert to fraction form
    18,675.76/25,772.44 = 10,178.40/x
  3. Step 3: Cross multiply
    18,675.76x = 25,772.44 × 10,178.40
  4. Step 4: Simplify right side
    18,675.76x = 262,322,203.30
  5. Step 5: Solve for x
    x = 262,322,203.30/18,675.76
  6. Step 6: Final answer
    x = 14,046.13

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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.