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Finding the Fourth Proportional to 4,990.64, 7,479.24 and 2,764.23

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Solution

The fourth proportional to 4,990.64, 7,479.24 and 2,764.23 is: 4,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,990.64 : 7,479.24 = 2,764.23 : x
  2. Step 2: Convert to fraction form
    4,990.64/7,479.24 = 2,764.23/x
  3. Step 3: Cross multiply
    4,990.64x = 7,479.24 × 2,764.23
  4. Step 4: Simplify right side
    4,990.64x = 20,674,339.59
  5. Step 5: Solve for x
    x = 20,674,339.59/4,990.64
  6. Step 6: Final answer
    x = 4,142.62

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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.