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Finding the Fourth Proportional to 7,842, 10,821.96 and 4,305.27

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Solution

The fourth proportional to 7,842, 10,821.96 and 4,305.27 is: 5,941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842 : 10,821.96 = 4,305.27 : x
  2. Step 2: Convert to fraction form
    7,842/10,821.96 = 4,305.27/x
  3. Step 3: Cross multiply
    7,842x = 10,821.96 × 4,305.27
  4. Step 4: Simplify right side
    7,842x = 46,591,459.73
  5. Step 5: Solve for x
    x = 46,591,459.73/7,842
  6. Step 6: Final answer
    x = 5,941.27

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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.