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Finding the Fourth Proportional to 8,154.56, 12,230.52 and 3,220.64

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Solution

The fourth proportional to 8,154.56, 12,230.52 and 3,220.64 is: 4,830.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.56 : 12,230.52 = 3,220.64 : x
  2. Step 2: Convert to fraction form
    8,154.56/12,230.52 = 3,220.64/x
  3. Step 3: Cross multiply
    8,154.56x = 12,230.52 × 3,220.64
  4. Step 4: Simplify right side
    8,154.56x = 39,390,101.93
  5. Step 5: Solve for x
    x = 39,390,101.93/8,154.56
  6. Step 6: Final answer
    x = 4,830.44

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Why These Related Problems?

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