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Finding the Fourth Proportional to 5,687.70, 7,850.70 and 3,698.46

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Solution

The fourth proportional to 5,687.70, 7,850.70 and 3,698.46 is: 5,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.70 : 7,850.70 = 3,698.46 : x
  2. Step 2: Convert to fraction form
    5,687.70/7,850.70 = 3,698.46/x
  3. Step 3: Cross multiply
    5,687.70x = 7,850.70 × 3,698.46
  4. Step 4: Simplify right side
    5,687.70x = 29,035,499.92
  5. Step 5: Solve for x
    x = 29,035,499.92/5,687.70
  6. Step 6: Final answer
    x = 5,104.96

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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.