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Finding the Fourth Proportional to 8,254.52, 11,398.56 and 5,611.76

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Solution

The fourth proportional to 8,254.52, 11,398.56 and 5,611.76 is: 7,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.52 : 11,398.56 = 5,611.76 : x
  2. Step 2: Convert to fraction form
    8,254.52/11,398.56 = 5,611.76/x
  3. Step 3: Cross multiply
    8,254.52x = 11,398.56 × 5,611.76
  4. Step 4: Simplify right side
    8,254.52x = 63,965,983.07
  5. Step 5: Solve for x
    x = 63,965,983.07/8,254.52
  6. Step 6: Final answer
    x = 7,749.21

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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.