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Finding the Fourth Proportional to 2,305.79, 3,182.04 and 1,311.11

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Solution

The fourth proportional to 2,305.79, 3,182.04 and 1,311.11 is: 1,809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.79 : 3,182.04 = 1,311.11 : x
  2. Step 2: Convert to fraction form
    2,305.79/3,182.04 = 1,311.11/x
  3. Step 3: Cross multiply
    2,305.79x = 3,182.04 × 1,311.11
  4. Step 4: Simplify right side
    2,305.79x = 4,171,988.55
  5. Step 5: Solve for x
    x = 4,171,988.55/2,305.79
  6. Step 6: Final answer
    x = 1,809.36

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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.