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Finding the Fourth Proportional to 8,201.56, 12,294.76 and 3,270

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Solution

The fourth proportional to 8,201.56, 12,294.76 and 3,270 is: 4,901.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.56 : 12,294.76 = 3,270 : x
  2. Step 2: Convert to fraction form
    8,201.56/12,294.76 = 3,270/x
  3. Step 3: Cross multiply
    8,201.56x = 12,294.76 × 3,270
  4. Step 4: Simplify right side
    8,201.56x = 40,203,865.20
  5. Step 5: Solve for x
    x = 40,203,865.20/8,201.56
  6. Step 6: Final answer
    x = 4,901.98

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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.