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Finding the Fourth Proportional to 12,196, 16,831.20 and 6,890.68

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Solution

The fourth proportional to 12,196, 16,831.20 and 6,890.68 is: 9,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196 : 16,831.20 = 6,890.68 : x
  2. Step 2: Convert to fraction form
    12,196/16,831.20 = 6,890.68/x
  3. Step 3: Cross multiply
    12,196x = 16,831.20 × 6,890.68
  4. Step 4: Simplify right side
    12,196x = 115,978,413.22
  5. Step 5: Solve for x
    x = 115,978,413.22/12,196
  6. Step 6: Final answer
    x = 9,509.55

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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.