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Finding the Fourth Proportional to 7,842.52, 11,764.74 and 2,647

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Solution

The fourth proportional to 7,842.52, 11,764.74 and 2,647 is: 3,970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.52 : 11,764.74 = 2,647 : x
  2. Step 2: Convert to fraction form
    7,842.52/11,764.74 = 2,647/x
  3. Step 3: Cross multiply
    7,842.52x = 11,764.74 × 2,647
  4. Step 4: Simplify right side
    7,842.52x = 31,141,266.78
  5. Step 5: Solve for x
    x = 31,141,266.78/7,842.52
  6. Step 6: Final answer
    x = 3,970.82

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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.