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Finding the Fourth Proportional to 2,305.88, 3,182.40 and 1,311.41

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Solution

The fourth proportional to 2,305.88, 3,182.40 and 1,311.41 is: 1,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.88 : 3,182.40 = 1,311.41 : x
  2. Step 2: Convert to fraction form
    2,305.88/3,182.40 = 1,311.41/x
  3. Step 3: Cross multiply
    2,305.88x = 3,182.40 × 1,311.41
  4. Step 4: Simplify right side
    2,305.88x = 4,173,415.27
  5. Step 5: Solve for x
    x = 4,173,415.27/2,305.88
  6. Step 6: Final answer
    x = 1,809.90

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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.