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Finding the Fourth Proportional to 4,489.36, 6,734.49 and 1,718.36

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Solution

The fourth proportional to 4,489.36, 6,734.49 and 1,718.36 is: 2,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.36 : 6,734.49 = 1,718.36 : x
  2. Step 2: Convert to fraction form
    4,489.36/6,734.49 = 1,718.36/x
  3. Step 3: Cross multiply
    4,489.36x = 6,734.49 × 1,718.36
  4. Step 4: Simplify right side
    4,489.36x = 11,572,244.56
  5. Step 5: Solve for x
    x = 11,572,244.56/4,489.36
  6. Step 6: Final answer
    x = 2,577.71

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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.