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Finding the Fourth Proportional to 13,784, 20,649.78 and 7,865

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Solution

The fourth proportional to 13,784, 20,649.78 and 7,865 is: 11,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784 : 20,649.78 = 7,865 : x
  2. Step 2: Convert to fraction form
    13,784/20,649.78 = 7,865/x
  3. Step 3: Cross multiply
    13,784x = 20,649.78 × 7,865
  4. Step 4: Simplify right side
    13,784x = 162,410,519.70
  5. Step 5: Solve for x
    x = 162,410,519.70/13,784
  6. Step 6: Final answer
    x = 11,782.54

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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.