Home / 2,786.34-4,180.32-2,297.10

Finding the Fourth Proportional to 2,786.34, 4,180.32 and 2,297.10

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Solution

The fourth proportional to 2,786.34, 4,180.32 and 2,297.10 is: 3,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.34 : 4,180.32 = 2,297.10 : x
  2. Step 2: Convert to fraction form
    2,786.34/4,180.32 = 2,297.10/x
  3. Step 3: Cross multiply
    2,786.34x = 4,180.32 × 2,297.10
  4. Step 4: Simplify right side
    2,786.34x = 9,602,613.07
  5. Step 5: Solve for x
    x = 9,602,613.07/2,786.34
  6. Step 6: Final answer
    x = 3,446.32

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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.