Home / 3,142.06-4,706.78-1,493.70

Finding the Fourth Proportional to 3,142.06, 4,706.78 and 1,493.70

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Solution

The fourth proportional to 3,142.06, 4,706.78 and 1,493.70 is: 2,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.06 : 4,706.78 = 1,493.70 : x
  2. Step 2: Convert to fraction form
    3,142.06/4,706.78 = 1,493.70/x
  3. Step 3: Cross multiply
    3,142.06x = 4,706.78 × 1,493.70
  4. Step 4: Simplify right side
    3,142.06x = 7,030,517.29
  5. Step 5: Solve for x
    x = 7,030,517.29/3,142.06
  6. Step 6: Final answer
    x = 2,237.55

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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.