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Finding the Fourth Proportional to 7,999.90, 12,002.10 and 3,617.26

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Solution

The fourth proportional to 7,999.90, 12,002.10 and 3,617.26 is: 5,426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999.90 : 12,002.10 = 3,617.26 : x
  2. Step 2: Convert to fraction form
    7,999.90/12,002.10 = 3,617.26/x
  3. Step 3: Cross multiply
    7,999.90x = 12,002.10 × 3,617.26
  4. Step 4: Simplify right side
    7,999.90x = 43,414,716.25
  5. Step 5: Solve for x
    x = 43,414,716.25/7,999.90
  6. Step 6: Final answer
    x = 5,426.91

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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.