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Finding the Fourth Proportional to 2,753.49, 4,130.24 and 805.71

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Solution

The fourth proportional to 2,753.49, 4,130.24 and 805.71 is: 1,208.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.49 : 4,130.24 = 805.71 : x
  2. Step 2: Convert to fraction form
    2,753.49/4,130.24 = 805.71/x
  3. Step 3: Cross multiply
    2,753.49x = 4,130.24 × 805.71
  4. Step 4: Simplify right side
    2,753.49x = 3,327,771.64
  5. Step 5: Solve for x
    x = 3,327,771.64/2,753.49
  6. Step 6: Final answer
    x = 1,208.57

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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.