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Finding the Fourth Proportional to 7,884, 10,879.80 and 4,347.12

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Solution

The fourth proportional to 7,884, 10,879.80 and 4,347.12 is: 5,998.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884 : 10,879.80 = 4,347.12 : x
  2. Step 2: Convert to fraction form
    7,884/10,879.80 = 4,347.12/x
  3. Step 3: Cross multiply
    7,884x = 10,879.80 × 4,347.12
  4. Step 4: Simplify right side
    7,884x = 47,295,796.18
  5. Step 5: Solve for x
    x = 47,295,796.18/7,884
  6. Step 6: Final answer
    x = 5,998.96

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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.