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Finding the Fourth Proportional to 15,097.19, 20,831.90 and 8,382.87

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Solution

The fourth proportional to 15,097.19, 20,831.90 and 8,382.87 is: 11,567.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.19 : 20,831.90 = 8,382.87 : x
  2. Step 2: Convert to fraction form
    15,097.19/20,831.90 = 8,382.87/x
  3. Step 3: Cross multiply
    15,097.19x = 20,831.90 × 8,382.87
  4. Step 4: Simplify right side
    15,097.19x = 174,631,067.64
  5. Step 5: Solve for x
    x = 174,631,067.64/15,097.19
  6. Step 6: Final answer
    x = 11,567.13

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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.