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Finding the Fourth Proportional to 3,967.64, 5,940.50 and 2,990.78

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Solution

The fourth proportional to 3,967.64, 5,940.50 and 2,990.78 is: 4,477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.64 : 5,940.50 = 2,990.78 : x
  2. Step 2: Convert to fraction form
    3,967.64/5,940.50 = 2,990.78/x
  3. Step 3: Cross multiply
    3,967.64x = 5,940.50 × 2,990.78
  4. Step 4: Simplify right side
    3,967.64x = 17,766,728.59
  5. Step 5: Solve for x
    x = 17,766,728.59/3,967.64
  6. Step 6: Final answer
    x = 4,477.91

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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.