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Finding the Fourth Proportional to 3,999.70, 5,999 and 1,078.18

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Solution

The fourth proportional to 3,999.70, 5,999 and 1,078.18 is: 1,617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.70 : 5,999 = 1,078.18 : x
  2. Step 2: Convert to fraction form
    3,999.70/5,999 = 1,078.18/x
  3. Step 3: Cross multiply
    3,999.70x = 5,999 × 1,078.18
  4. Step 4: Simplify right side
    3,999.70x = 6,468,001.82
  5. Step 5: Solve for x
    x = 6,468,001.82/3,999.70
  6. Step 6: Final answer
    x = 1,617.12

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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.