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Finding the Fourth Proportional to 16,438, 22,690.20 and 9,814

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Solution

The fourth proportional to 16,438, 22,690.20 and 9,814 is: 13,546.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438 : 22,690.20 = 9,814 : x
  2. Step 2: Convert to fraction form
    16,438/22,690.20 = 9,814/x
  3. Step 3: Cross multiply
    16,438x = 22,690.20 × 9,814
  4. Step 4: Simplify right side
    16,438x = 222,681,622.80
  5. Step 5: Solve for x
    x = 222,681,622.80/16,438
  6. Step 6: Final answer
    x = 13,546.76

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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.