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Finding the Fourth Proportional to 21,187.16, 31,791 and 8,716.40

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Solution

The fourth proportional to 21,187.16, 31,791 and 8,716.40 is: 13,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,187.16 : 31,791 = 8,716.40 : x
  2. Step 2: Convert to fraction form
    21,187.16/31,791 = 8,716.40/x
  3. Step 3: Cross multiply
    21,187.16x = 31,791 × 8,716.40
  4. Step 4: Simplify right side
    21,187.16x = 277,103,072.40
  5. Step 5: Solve for x
    x = 277,103,072.40/21,187.16
  6. Step 6: Final answer
    x = 13,078.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.