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Finding the Fourth Proportional to 12,831.36, 17,706 and 7,241.28

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Solution

The fourth proportional to 12,831.36, 17,706 and 7,241.28 is: 9,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.36 : 17,706 = 7,241.28 : x
  2. Step 2: Convert to fraction form
    12,831.36/17,706 = 7,241.28/x
  3. Step 3: Cross multiply
    12,831.36x = 17,706 × 7,241.28
  4. Step 4: Simplify right side
    12,831.36x = 128,214,103.68
  5. Step 5: Solve for x
    x = 128,214,103.68/12,831.36
  6. Step 6: Final answer
    x = 9,992.25

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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.