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Finding the Fourth Proportional to 9,978.92, 13,769.30 and 5,999.08

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Solution

The fourth proportional to 9,978.92, 13,769.30 and 5,999.08 is: 8,277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.92 : 13,769.30 = 5,999.08 : x
  2. Step 2: Convert to fraction form
    9,978.92/13,769.30 = 5,999.08/x
  3. Step 3: Cross multiply
    9,978.92x = 13,769.30 × 5,999.08
  4. Step 4: Simplify right side
    9,978.92x = 82,603,132.24
  5. Step 5: Solve for x
    x = 82,603,132.24/9,978.92
  6. Step 6: Final answer
    x = 8,277.76

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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.