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Finding the Fourth Proportional to 5,687.96, 7,847.58 and 3,203.48

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Solution

The fourth proportional to 5,687.96, 7,847.58 and 3,203.48 is: 4,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.96 : 7,847.58 = 3,203.48 : x
  2. Step 2: Convert to fraction form
    5,687.96/7,847.58 = 3,203.48/x
  3. Step 3: Cross multiply
    5,687.96x = 7,847.58 × 3,203.48
  4. Step 4: Simplify right side
    5,687.96x = 25,139,565.58
  5. Step 5: Solve for x
    x = 25,139,565.58/5,687.96
  6. Step 6: Final answer
    x = 4,419.79

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1.5x scale

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.