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Finding the Fourth Proportional to 12,322.71, 17,004.38 and 7,016.49

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Solution

The fourth proportional to 12,322.71, 17,004.38 and 7,016.49 is: 9,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.71 : 17,004.38 = 7,016.49 : x
  2. Step 2: Convert to fraction form
    12,322.71/17,004.38 = 7,016.49/x
  3. Step 3: Cross multiply
    12,322.71x = 17,004.38 × 7,016.49
  4. Step 4: Simplify right side
    12,322.71x = 119,311,027.14
  5. Step 5: Solve for x
    x = 119,311,027.14/12,322.71
  6. Step 6: Final answer
    x = 9,682.21

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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.