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Finding the Fourth Proportional to 2,790.26, 3,847.26 and 2,291.30

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Solution

The fourth proportional to 2,790.26, 3,847.26 and 2,291.30 is: 3,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.26 : 3,847.26 = 2,291.30 : x
  2. Step 2: Convert to fraction form
    2,790.26/3,847.26 = 2,291.30/x
  3. Step 3: Cross multiply
    2,790.26x = 3,847.26 × 2,291.30
  4. Step 4: Simplify right side
    2,790.26x = 8,815,226.84
  5. Step 5: Solve for x
    x = 8,815,226.84/2,790.26
  6. Step 6: Final answer
    x = 3,159.29

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1.5x scale

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.