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Finding the Fourth Proportional to 11,294.80, 16,936.42 and 6,615.82

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Solution

The fourth proportional to 11,294.80, 16,936.42 and 6,615.82 is: 9,920.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.80 : 16,936.42 = 6,615.82 : x
  2. Step 2: Convert to fraction form
    11,294.80/16,936.42 = 6,615.82/x
  3. Step 3: Cross multiply
    11,294.80x = 16,936.42 × 6,615.82
  4. Step 4: Simplify right side
    11,294.80x = 112,048,306.16
  5. Step 5: Solve for x
    x = 112,048,306.16/11,294.80
  6. Step 6: Final answer
    x = 9,920.34

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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.