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Finding the Fourth Proportional to 8,161.25, 12,242.12 and 2,005.25

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Solution

The fourth proportional to 8,161.25, 12,242.12 and 2,005.25 is: 3,007.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.25 : 12,242.12 = 2,005.25 : x
  2. Step 2: Convert to fraction form
    8,161.25/12,242.12 = 2,005.25/x
  3. Step 3: Cross multiply
    8,161.25x = 12,242.12 × 2,005.25
  4. Step 4: Simplify right side
    8,161.25x = 24,548,501.10
  5. Step 5: Solve for x
    x = 24,548,501.10/8,161.25
  6. Step 6: Final answer
    x = 3,007.93

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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.