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Finding the Fourth Proportional to 3,782.90, 5,209.65 and 2,733.30

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Solution

The fourth proportional to 3,782.90, 5,209.65 and 2,733.30 is: 3,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.90 : 5,209.65 = 2,733.30 : x
  2. Step 2: Convert to fraction form
    3,782.90/5,209.65 = 2,733.30/x
  3. Step 3: Cross multiply
    3,782.90x = 5,209.65 × 2,733.30
  4. Step 4: Simplify right side
    3,782.90x = 14,239,536.35
  5. Step 5: Solve for x
    x = 14,239,536.35/3,782.90
  6. Step 6: Final answer
    x = 3,764.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.