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Finding the Fourth Proportional to 2,859.40, 3,939.78 and 2,297.80

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Solution

The fourth proportional to 2,859.40, 3,939.78 and 2,297.80 is: 3,165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.40 : 3,939.78 = 2,297.80 : x
  2. Step 2: Convert to fraction form
    2,859.40/3,939.78 = 2,297.80/x
  3. Step 3: Cross multiply
    2,859.40x = 3,939.78 × 2,297.80
  4. Step 4: Simplify right side
    2,859.40x = 9,052,826.48
  5. Step 5: Solve for x
    x = 9,052,826.48/2,859.40
  6. Step 6: Final answer
    x = 3,165.99

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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.