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Finding the Fourth Proportional to 15,876.49, 23,814.49 and 3,868.78

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Solution

The fourth proportional to 15,876.49, 23,814.49 and 3,868.78 is: 5,803.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.49 : 23,814.49 = 3,868.78 : x
  2. Step 2: Convert to fraction form
    15,876.49/23,814.49 = 3,868.78/x
  3. Step 3: Cross multiply
    15,876.49x = 23,814.49 × 3,868.78
  4. Step 4: Simplify right side
    15,876.49x = 92,133,022.62
  5. Step 5: Solve for x
    x = 92,133,022.62/15,876.49
  6. Step 6: Final answer
    x = 5,803.11

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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.