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Finding the Fourth Proportional to 15,928, 23,891.05 and 4,834.78

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Solution

The fourth proportional to 15,928, 23,891.05 and 4,834.78 is: 7,251.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,928 : 23,891.05 = 4,834.78 : x
  2. Step 2: Convert to fraction form
    15,928/23,891.05 = 4,834.78/x
  3. Step 3: Cross multiply
    15,928x = 23,891.05 × 4,834.78
  4. Step 4: Simplify right side
    15,928x = 115,507,970.72
  5. Step 5: Solve for x
    x = 115,507,970.72/15,928
  6. Step 6: Final answer
    x = 7,251.88

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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.