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Finding the Fourth Proportional to 3,148.74, 4,723.74 and 1,764.05

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Solution

The fourth proportional to 3,148.74, 4,723.74 and 1,764.05 is: 2,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.74 : 4,723.74 = 1,764.05 : x
  2. Step 2: Convert to fraction form
    3,148.74/4,723.74 = 1,764.05/x
  3. Step 3: Cross multiply
    3,148.74x = 4,723.74 × 1,764.05
  4. Step 4: Simplify right side
    3,148.74x = 8,332,889.93
  5. Step 5: Solve for x
    x = 8,332,889.93/3,148.74
  6. Step 6: Final answer
    x = 2,646.42

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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.