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Finding the Fourth Proportional to 25,516, 38,274 and 9,944.56

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Solution

The fourth proportional to 25,516, 38,274 and 9,944.56 is: 14,916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,516 : 38,274 = 9,944.56 : x
  2. Step 2: Convert to fraction form
    25,516/38,274 = 9,944.56/x
  3. Step 3: Cross multiply
    25,516x = 38,274 × 9,944.56
  4. Step 4: Simplify right side
    25,516x = 380,618,089.44
  5. Step 5: Solve for x
    x = 380,618,089.44/25,516
  6. Step 6: Final answer
    x = 14,916.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.