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Finding the Fourth Proportional to 4,764.27, 7,150.98 and 1,990.20

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Solution

The fourth proportional to 4,764.27, 7,150.98 and 1,990.20 is: 2,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.27 : 7,150.98 = 1,990.20 : x
  2. Step 2: Convert to fraction form
    4,764.27/7,150.98 = 1,990.20/x
  3. Step 3: Cross multiply
    4,764.27x = 7,150.98 × 1,990.20
  4. Step 4: Simplify right side
    4,764.27x = 14,231,880.40
  5. Step 5: Solve for x
    x = 14,231,880.40/4,764.27
  6. Step 6: Final answer
    x = 2,987.21

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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.