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Finding the Fourth Proportional to 11,313, 15,611.94 and 6,897

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Solution

The fourth proportional to 11,313, 15,611.94 and 6,897 is: 9,517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,313 : 15,611.94 = 6,897 : x
  2. Step 2: Convert to fraction form
    11,313/15,611.94 = 6,897/x
  3. Step 3: Cross multiply
    11,313x = 15,611.94 × 6,897
  4. Step 4: Simplify right side
    11,313x = 107,675,550.18
  5. Step 5: Solve for x
    x = 107,675,550.18/11,313
  6. Step 6: Final answer
    x = 9,517.86

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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.