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Finding the Fourth Proportional to 3,999.70, 5,999.08 and 1,078.23

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Solution

The fourth proportional to 3,999.70, 5,999.08 and 1,078.23 is: 1,617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.70 : 5,999.08 = 1,078.23 : x
  2. Step 2: Convert to fraction form
    3,999.70/5,999.08 = 1,078.23/x
  3. Step 3: Cross multiply
    3,999.70x = 5,999.08 × 1,078.23
  4. Step 4: Simplify right side
    3,999.70x = 6,468,388.03
  5. Step 5: Solve for x
    x = 6,468,388.03/3,999.70
  6. Step 6: Final answer
    x = 1,617.22

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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.