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Finding the Fourth Proportional to 2,614.82, 3,609.38 and 1,730.90

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Solution

The fourth proportional to 2,614.82, 3,609.38 and 1,730.90 is: 2,389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.82 : 3,609.38 = 1,730.90 : x
  2. Step 2: Convert to fraction form
    2,614.82/3,609.38 = 1,730.90/x
  3. Step 3: Cross multiply
    2,614.82x = 3,609.38 × 1,730.90
  4. Step 4: Simplify right side
    2,614.82x = 6,247,489.19
  5. Step 5: Solve for x
    x = 6,247,489.19/2,614.82
  6. Step 6: Final answer
    x = 2,389.27

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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.