Home / 3,102.87-4,282.17-1,705.62

Finding the Fourth Proportional to 3,102.87, 4,282.17 and 1,705.62

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Solution

The fourth proportional to 3,102.87, 4,282.17 and 1,705.62 is: 2,353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.87 : 4,282.17 = 1,705.62 : x
  2. Step 2: Convert to fraction form
    3,102.87/4,282.17 = 1,705.62/x
  3. Step 3: Cross multiply
    3,102.87x = 4,282.17 × 1,705.62
  4. Step 4: Simplify right side
    3,102.87x = 7,303,754.80
  5. Step 5: Solve for x
    x = 7,303,754.80/3,102.87
  6. Step 6: Final answer
    x = 2,353.87

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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.