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Finding the Fourth Proportional to 11,255.88, 15,533.12 and 6,540.46

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Solution

The fourth proportional to 11,255.88, 15,533.12 and 6,540.46 is: 9,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,255.88 : 15,533.12 = 6,540.46 : x
  2. Step 2: Convert to fraction form
    11,255.88/15,533.12 = 6,540.46/x
  3. Step 3: Cross multiply
    11,255.88x = 15,533.12 × 6,540.46
  4. Step 4: Simplify right side
    11,255.88x = 101,593,750.04
  5. Step 5: Solve for x
    x = 101,593,750.04/11,255.88
  6. Step 6: Final answer
    x = 9,025.84

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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.