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Finding the Fourth Proportional to 16,662, 22,993.60 and 9,210

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Solution

The fourth proportional to 16,662, 22,993.60 and 9,210 is: 12,709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,662 : 22,993.60 = 9,210 : x
  2. Step 2: Convert to fraction form
    16,662/22,993.60 = 9,210/x
  3. Step 3: Cross multiply
    16,662x = 22,993.60 × 9,210
  4. Step 4: Simplify right side
    16,662x = 211,771,056
  5. Step 5: Solve for x
    x = 211,771,056/16,662
  6. Step 6: Final answer
    x = 12,709.82

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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.