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Finding the Fourth Proportional to 14,491, 19,997.58 and 7,867

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Solution

The fourth proportional to 14,491, 19,997.58 and 7,867 is: 10,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491 : 19,997.58 = 7,867 : x
  2. Step 2: Convert to fraction form
    14,491/19,997.58 = 7,867/x
  3. Step 3: Cross multiply
    14,491x = 19,997.58 × 7,867
  4. Step 4: Simplify right side
    14,491x = 157,320,961.86
  5. Step 5: Solve for x
    x = 157,320,961.86/14,491
  6. Step 6: Final answer
    x = 10,856.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.