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Finding the Fourth Proportional to 15,904.81, 21,949.14 and 8,831.80

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Solution

The fourth proportional to 15,904.81, 21,949.14 and 8,831.80 is: 12,188.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,904.81 : 21,949.14 = 8,831.80 : x
  2. Step 2: Convert to fraction form
    15,904.81/21,949.14 = 8,831.80/x
  3. Step 3: Cross multiply
    15,904.81x = 21,949.14 × 8,831.80
  4. Step 4: Simplify right side
    15,904.81x = 193,850,414.65
  5. Step 5: Solve for x
    x = 193,850,414.65/15,904.81
  6. Step 6: Final answer
    x = 12,188.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.