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Finding the Fourth Proportional to 2,709.34, 3,738.87 and 1,530.64

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Solution

The fourth proportional to 2,709.34, 3,738.87 and 1,530.64 is: 2,112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.34 : 3,738.87 = 1,530.64 : x
  2. Step 2: Convert to fraction form
    2,709.34/3,738.87 = 1,530.64/x
  3. Step 3: Cross multiply
    2,709.34x = 3,738.87 × 1,530.64
  4. Step 4: Simplify right side
    2,709.34x = 5,722,863.98
  5. Step 5: Solve for x
    x = 5,722,863.98/2,709.34
  6. Step 6: Final answer
    x = 2,112.27

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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.