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Finding the Fourth Proportional to 5,646.44, 7,793.10 and 3,290

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Solution

The fourth proportional to 5,646.44, 7,793.10 and 3,290 is: 4,540.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.44 : 7,793.10 = 3,290 : x
  2. Step 2: Convert to fraction form
    5,646.44/7,793.10 = 3,290/x
  3. Step 3: Cross multiply
    5,646.44x = 7,793.10 × 3,290
  4. Step 4: Simplify right side
    5,646.44x = 25,639,299
  5. Step 5: Solve for x
    x = 25,639,299/5,646.44
  6. Step 6: Final answer
    x = 4,540.79

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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.