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Finding the Fourth Proportional to 10,221.88, 14,105.88 and 5,745.52

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Solution

The fourth proportional to 10,221.88, 14,105.88 and 5,745.52 is: 7,928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.88 : 14,105.88 = 5,745.52 : x
  2. Step 2: Convert to fraction form
    10,221.88/14,105.88 = 5,745.52/x
  3. Step 3: Cross multiply
    10,221.88x = 14,105.88 × 5,745.52
  4. Step 4: Simplify right side
    10,221.88x = 81,045,615.66
  5. Step 5: Solve for x
    x = 81,045,615.66/10,221.88
  6. Step 6: Final answer
    x = 7,928.64

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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.