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Finding the Fourth Proportional to 7,647.69, 11,461.82 and 3,489.96

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Solution

The fourth proportional to 7,647.69, 11,461.82 and 3,489.96 is: 5,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.69 : 11,461.82 = 3,489.96 : x
  2. Step 2: Convert to fraction form
    7,647.69/11,461.82 = 3,489.96/x
  3. Step 3: Cross multiply
    7,647.69x = 11,461.82 × 3,489.96
  4. Step 4: Simplify right side
    7,647.69x = 40,001,275.88
  5. Step 5: Solve for x
    x = 40,001,275.88/7,647.69
  6. Step 6: Final answer
    x = 5,230.50

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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.