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Finding the Fourth Proportional to 2,753.06, 4,129.64 and 805.26

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Solution

The fourth proportional to 2,753.06, 4,129.64 and 805.26 is: 1,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.06 : 4,129.64 = 805.26 : x
  2. Step 2: Convert to fraction form
    2,753.06/4,129.64 = 805.26/x
  3. Step 3: Cross multiply
    2,753.06x = 4,129.64 × 805.26
  4. Step 4: Simplify right side
    2,753.06x = 3,325,433.91
  5. Step 5: Solve for x
    x = 3,325,433.91/2,753.06
  6. Step 6: Final answer
    x = 1,207.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.