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Finding the Fourth Proportional to 8,201.12, 12,301.24 and 2,654.32

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Solution

The fourth proportional to 8,201.12, 12,301.24 and 2,654.32 is: 3,981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.12 : 12,301.24 = 2,654.32 : x
  2. Step 2: Convert to fraction form
    8,201.12/12,301.24 = 2,654.32/x
  3. Step 3: Cross multiply
    8,201.12x = 12,301.24 × 2,654.32
  4. Step 4: Simplify right side
    8,201.12x = 32,651,427.36
  5. Step 5: Solve for x
    x = 32,651,427.36/8,201.12
  6. Step 6: Final answer
    x = 3,981.34

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1.5x scale

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.