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Finding the Fourth Proportional to 7,920.72, 11,881.17 and 3,538.41

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Solution

The fourth proportional to 7,920.72, 11,881.17 and 3,538.41 is: 5,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.72 : 11,881.17 = 3,538.41 : x
  2. Step 2: Convert to fraction form
    7,920.72/11,881.17 = 3,538.41/x
  3. Step 3: Cross multiply
    7,920.72x = 11,881.17 × 3,538.41
  4. Step 4: Simplify right side
    7,920.72x = 42,040,450.74
  5. Step 5: Solve for x
    x = 42,040,450.74/7,920.72
  6. Step 6: Final answer
    x = 5,307.66

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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.