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Finding the Fourth Proportional to 12,944.57, 17,866.46 and 9,163.81

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Solution

The fourth proportional to 12,944.57, 17,866.46 and 9,163.81 is: 12,648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,944.57 : 17,866.46 = 9,163.81 : x
  2. Step 2: Convert to fraction form
    12,944.57/17,866.46 = 9,163.81/x
  3. Step 3: Cross multiply
    12,944.57x = 17,866.46 × 9,163.81
  4. Step 4: Simplify right side
    12,944.57x = 163,724,823.06
  5. Step 5: Solve for x
    x = 163,724,823.06/12,944.57
  6. Step 6: Final answer
    x = 12,648.14

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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.