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Finding the Fourth Proportional to 8,552.52, 12,824.72 and 3,005.20

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Solution

The fourth proportional to 8,552.52, 12,824.72 and 3,005.20 is: 4,506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,552.52 : 12,824.72 = 3,005.20 : x
  2. Step 2: Convert to fraction form
    8,552.52/12,824.72 = 3,005.20/x
  3. Step 3: Cross multiply
    8,552.52x = 12,824.72 × 3,005.20
  4. Step 4: Simplify right side
    8,552.52x = 38,540,848.54
  5. Step 5: Solve for x
    x = 38,540,848.54/8,552.52
  6. Step 6: Final answer
    x = 4,506.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.