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Finding the Fourth Proportional to 12,986, 17,923.92 and 7,400.24

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Solution

The fourth proportional to 12,986, 17,923.92 and 7,400.24 is: 10,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986 : 17,923.92 = 7,400.24 : x
  2. Step 2: Convert to fraction form
    12,986/17,923.92 = 7,400.24/x
  3. Step 3: Cross multiply
    12,986x = 17,923.92 × 7,400.24
  4. Step 4: Simplify right side
    12,986x = 132,641,309.74
  5. Step 5: Solve for x
    x = 132,641,309.74/12,986
  6. Step 6: Final answer
    x = 10,214.18

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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.