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Finding the Fourth Proportional to 11,200.80, 15,456.64 and 6,164.56

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Solution

The fourth proportional to 11,200.80, 15,456.64 and 6,164.56 is: 8,506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.80 : 15,456.64 = 6,164.56 : x
  2. Step 2: Convert to fraction form
    11,200.80/15,456.64 = 6,164.56/x
  3. Step 3: Cross multiply
    11,200.80x = 15,456.64 × 6,164.56
  4. Step 4: Simplify right side
    11,200.80x = 95,283,384.68
  5. Step 5: Solve for x
    x = 95,283,384.68/11,200.80
  6. Step 6: Final answer
    x = 8,506.84

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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.