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Finding the Fourth Proportional to 3,865.80, 5,798.15 and 1,645.52

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Solution

The fourth proportional to 3,865.80, 5,798.15 and 1,645.52 is: 2,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.80 : 5,798.15 = 1,645.52 : x
  2. Step 2: Convert to fraction form
    3,865.80/5,798.15 = 1,645.52/x
  3. Step 3: Cross multiply
    3,865.80x = 5,798.15 × 1,645.52
  4. Step 4: Simplify right side
    3,865.80x = 9,540,940.74
  5. Step 5: Solve for x
    x = 9,540,940.74/3,865.80
  6. Step 6: Final answer
    x = 2,468.04

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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.