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Finding the Fourth Proportional to 3,999.69, 6,002.21 and 1,402.63

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Solution

The fourth proportional to 3,999.69, 6,002.21 and 1,402.63 is: 2,104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.69 : 6,002.21 = 1,402.63 : x
  2. Step 2: Convert to fraction form
    3,999.69/6,002.21 = 1,402.63/x
  3. Step 3: Cross multiply
    3,999.69x = 6,002.21 × 1,402.63
  4. Step 4: Simplify right side
    3,999.69x = 8,418,868.31
  5. Step 5: Solve for x
    x = 8,418,868.31/3,999.69
  6. Step 6: Final answer
    x = 2,104.88

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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.