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Finding the Fourth Proportional to 18,731.60, 25,854.82 and 10,776.38

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Solution

The fourth proportional to 18,731.60, 25,854.82 and 10,776.38 is: 14,874.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,731.60 : 25,854.82 = 10,776.38 : x
  2. Step 2: Convert to fraction form
    18,731.60/25,854.82 = 10,776.38/x
  3. Step 3: Cross multiply
    18,731.60x = 25,854.82 × 10,776.38
  4. Step 4: Simplify right side
    18,731.60x = 278,621,365.15
  5. Step 5: Solve for x
    x = 278,621,365.15/18,731.60
  6. Step 6: Final answer
    x = 14,874.40

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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.