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Finding the Fourth Proportional to 14,891, 20,549.59 and 8,267

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Solution

The fourth proportional to 14,891, 20,549.59 and 8,267 is: 11,408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,891 : 20,549.59 = 8,267 : x
  2. Step 2: Convert to fraction form
    14,891/20,549.59 = 8,267/x
  3. Step 3: Cross multiply
    14,891x = 20,549.59 × 8,267
  4. Step 4: Simplify right side
    14,891x = 169,883,460.53
  5. Step 5: Solve for x
    x = 169,883,460.53/14,891
  6. Step 6: Final answer
    x = 11,408.47

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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.