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Finding the Fourth Proportional to 3,999.80, 5,999.01 and 1,077.42

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Solution

The fourth proportional to 3,999.80, 5,999.01 and 1,077.42 is: 1,615.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.80 : 5,999.01 = 1,077.42 : x
  2. Step 2: Convert to fraction form
    3,999.80/5,999.01 = 1,077.42/x
  3. Step 3: Cross multiply
    3,999.80x = 5,999.01 × 1,077.42
  4. Step 4: Simplify right side
    3,999.80x = 6,463,417.97
  5. Step 5: Solve for x
    x = 6,463,417.97/3,999.80
  6. Step 6: Final answer
    x = 1,615.94

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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.