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Finding the Fourth Proportional to 15,876, 23,824.94 and 5,487.75

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Solution

The fourth proportional to 15,876, 23,824.94 and 5,487.75 is: 8,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876 : 23,824.94 = 5,487.75 : x
  2. Step 2: Convert to fraction form
    15,876/23,824.94 = 5,487.75/x
  3. Step 3: Cross multiply
    15,876x = 23,824.94 × 5,487.75
  4. Step 4: Simplify right side
    15,876x = 130,745,287.05
  5. Step 5: Solve for x
    x = 130,745,287.05/15,876
  6. Step 6: Final answer
    x = 8,235.40

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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.