Home / 8,142.14-12,211.50-2,297.18

Finding the Fourth Proportional to 8,142.14, 12,211.50 and 2,297.18

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Solution

The fourth proportional to 8,142.14, 12,211.50 and 2,297.18 is: 3,445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.14 : 12,211.50 = 2,297.18 : x
  2. Step 2: Convert to fraction form
    8,142.14/12,211.50 = 2,297.18/x
  3. Step 3: Cross multiply
    8,142.14x = 12,211.50 × 2,297.18
  4. Step 4: Simplify right side
    8,142.14x = 28,052,013.57
  5. Step 5: Solve for x
    x = 28,052,013.57/8,142.14
  6. Step 6: Final answer
    x = 3,445.29

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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.