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Finding the Fourth Proportional to 3,999.90, 5,999.01 and 1,077.50

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Solution

The fourth proportional to 3,999.90, 5,999.01 and 1,077.50 is: 1,616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.90 : 5,999.01 = 1,077.50 : x
  2. Step 2: Convert to fraction form
    3,999.90/5,999.01 = 1,077.50/x
  3. Step 3: Cross multiply
    3,999.90x = 5,999.01 × 1,077.50
  4. Step 4: Simplify right side
    3,999.90x = 6,463,933.28
  5. Step 5: Solve for x
    x = 6,463,933.28/3,999.90
  6. Step 6: Final answer
    x = 1,616.02

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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.