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Finding the Fourth Proportional to 8,047.01, 12,069.29 and 2,781.20

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Solution

The fourth proportional to 8,047.01, 12,069.29 and 2,781.20 is: 4,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.01 : 12,069.29 = 2,781.20 : x
  2. Step 2: Convert to fraction form
    8,047.01/12,069.29 = 2,781.20/x
  3. Step 3: Cross multiply
    8,047.01x = 12,069.29 × 2,781.20
  4. Step 4: Simplify right side
    8,047.01x = 33,567,035.10
  5. Step 5: Solve for x
    x = 33,567,035.10/8,047.01
  6. Step 6: Final answer
    x = 4,171.37

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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.