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Finding the Fourth Proportional to 3,990.75, 5,978.02 and 2,015.16

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Solution

The fourth proportional to 3,990.75, 5,978.02 and 2,015.16 is: 3,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,990.75 : 5,978.02 = 2,015.16 : x
  2. Step 2: Convert to fraction form
    3,990.75/5,978.02 = 2,015.16/x
  3. Step 3: Cross multiply
    3,990.75x = 5,978.02 × 2,015.16
  4. Step 4: Simplify right side
    3,990.75x = 12,046,666.78
  5. Step 5: Solve for x
    x = 12,046,666.78/3,990.75
  6. Step 6: Final answer
    x = 3,018.65

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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.