Home / 2,291.10-3,435.85-809.94

Finding the Fourth Proportional to 2,291.10, 3,435.85 and 809.94

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Solution

The fourth proportional to 2,291.10, 3,435.85 and 809.94 is: 1,214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.10 : 3,435.85 = 809.94 : x
  2. Step 2: Convert to fraction form
    2,291.10/3,435.85 = 809.94/x
  3. Step 3: Cross multiply
    2,291.10x = 3,435.85 × 809.94
  4. Step 4: Simplify right side
    2,291.10x = 2,782,832.35
  5. Step 5: Solve for x
    x = 2,782,832.35/2,291.10
  6. Step 6: Final answer
    x = 1,214.63

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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.