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Finding the Fourth Proportional to 7,007.82, 9,670.50 and 3,821.06

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Solution

The fourth proportional to 7,007.82, 9,670.50 and 3,821.06 is: 5,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.82 : 9,670.50 = 3,821.06 : x
  2. Step 2: Convert to fraction form
    7,007.82/9,670.50 = 3,821.06/x
  3. Step 3: Cross multiply
    7,007.82x = 9,670.50 × 3,821.06
  4. Step 4: Simplify right side
    7,007.82x = 36,951,560.73
  5. Step 5: Solve for x
    x = 36,951,560.73/7,007.82
  6. Step 6: Final answer
    x = 5,272.90

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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.