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Finding the Fourth Proportional to 2,305.45, 3,182.22 and 2,187.88

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Solution

The fourth proportional to 2,305.45, 3,182.22 and 2,187.88 is: 3,019.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.45 : 3,182.22 = 2,187.88 : x
  2. Step 2: Convert to fraction form
    2,305.45/3,182.22 = 2,187.88/x
  3. Step 3: Cross multiply
    2,305.45x = 3,182.22 × 2,187.88
  4. Step 4: Simplify right side
    2,305.45x = 6,962,315.49
  5. Step 5: Solve for x
    x = 6,962,315.49/2,305.45
  6. Step 6: Final answer
    x = 3,019.94

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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.