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Finding the Fourth Proportional to 2,609.14, 3,600.78 and 1,723.39

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Solution

The fourth proportional to 2,609.14, 3,600.78 and 1,723.39 is: 2,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.14 : 3,600.78 = 1,723.39 : x
  2. Step 2: Convert to fraction form
    2,609.14/3,600.78 = 1,723.39/x
  3. Step 3: Cross multiply
    2,609.14x = 3,600.78 × 1,723.39
  4. Step 4: Simplify right side
    2,609.14x = 6,205,548.24
  5. Step 5: Solve for x
    x = 6,205,548.24/2,609.14
  6. Step 6: Final answer
    x = 2,378.39

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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.