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Finding the Fourth Proportional to 16,555, 22,845.90 and 10,966

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Solution

The fourth proportional to 16,555, 22,845.90 and 10,966 is: 15,133.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,555 : 22,845.90 = 10,966 : x
  2. Step 2: Convert to fraction form
    16,555/22,845.90 = 10,966/x
  3. Step 3: Cross multiply
    16,555x = 22,845.90 × 10,966
  4. Step 4: Simplify right side
    16,555x = 250,528,139.40
  5. Step 5: Solve for x
    x = 250,528,139.40/16,555
  6. Step 6: Final answer
    x = 15,133.08

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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.