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Finding the Fourth Proportional to 7,842.82, 10,828.16 and 4,861.82

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Solution

The fourth proportional to 7,842.82, 10,828.16 and 4,861.82 is: 6,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.82 : 10,828.16 = 4,861.82 : x
  2. Step 2: Convert to fraction form
    7,842.82/10,828.16 = 4,861.82/x
  3. Step 3: Cross multiply
    7,842.82x = 10,828.16 × 4,861.82
  4. Step 4: Simplify right side
    7,842.82x = 52,644,564.85
  5. Step 5: Solve for x
    x = 52,644,564.85/7,842.82
  6. Step 6: Final answer
    x = 6,712.45

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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.