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Finding the Fourth Proportional to 25,278, 37,949.80 and 19,438.71

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Solution

The fourth proportional to 25,278, 37,949.80 and 19,438.71 is: 29,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,278 : 37,949.80 = 19,438.71 : x
  2. Step 2: Convert to fraction form
    25,278/37,949.80 = 19,438.71/x
  3. Step 3: Cross multiply
    25,278x = 37,949.80 × 19,438.71
  4. Step 4: Simplify right side
    25,278x = 737,695,156.76
  5. Step 5: Solve for x
    x = 737,695,156.76/25,278
  6. Step 6: Final answer
    x = 29,183.29

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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.