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Finding the Fourth Proportional to 9,978.40, 13,764.56 and 6,245.92

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Solution

The fourth proportional to 9,978.40, 13,764.56 and 6,245.92 is: 8,615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.40 : 13,764.56 = 6,245.92 : x
  2. Step 2: Convert to fraction form
    9,978.40/13,764.56 = 6,245.92/x
  3. Step 3: Cross multiply
    9,978.40x = 13,764.56 × 6,245.92
  4. Step 4: Simplify right side
    9,978.40x = 85,972,340.60
  5. Step 5: Solve for x
    x = 85,972,340.60/9,978.40
  6. Step 6: Final answer
    x = 8,615.84

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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.