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Finding the Fourth Proportional to 3,764.45, 5,647.95 and 1,685.90

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Solution

The fourth proportional to 3,764.45, 5,647.95 and 1,685.90 is: 2,529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.45 : 5,647.95 = 1,685.90 : x
  2. Step 2: Convert to fraction form
    3,764.45/5,647.95 = 1,685.90/x
  3. Step 3: Cross multiply
    3,764.45x = 5,647.95 × 1,685.90
  4. Step 4: Simplify right side
    3,764.45x = 9,521,850.67
  5. Step 5: Solve for x
    x = 9,521,850.67/3,764.45
  6. Step 6: Final answer
    x = 2,529.42

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1.5x scale

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.