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Finding the Fourth Proportional to 2,066.19, 3,099.27 and 506.19

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Solution

The fourth proportional to 2,066.19, 3,099.27 and 506.19 is: 759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.19 : 3,099.27 = 506.19 : x
  2. Step 2: Convert to fraction form
    2,066.19/3,099.27 = 506.19/x
  3. Step 3: Cross multiply
    2,066.19x = 3,099.27 × 506.19
  4. Step 4: Simplify right side
    2,066.19x = 1,568,819.48
  5. Step 5: Solve for x
    x = 1,568,819.48/2,066.19
  6. Step 6: Final answer
    x = 759.28

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1.5x scale

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.