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Finding the Fourth Proportional to 11,077.48, 15,286.50 and 6,109.48

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Solution

The fourth proportional to 11,077.48, 15,286.50 and 6,109.48 is: 8,430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.48 : 15,286.50 = 6,109.48 : x
  2. Step 2: Convert to fraction form
    11,077.48/15,286.50 = 6,109.48/x
  3. Step 3: Cross multiply
    11,077.48x = 15,286.50 × 6,109.48
  4. Step 4: Simplify right side
    11,077.48x = 93,392,566.02
  5. Step 5: Solve for x
    x = 93,392,566.02/11,077.48
  6. Step 6: Final answer
    x = 8,430.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.