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Finding the Fourth Proportional to 2,066.51, 3,099.70 and 506.52

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Solution

The fourth proportional to 2,066.51, 3,099.70 and 506.52 is: 759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.51 : 3,099.70 = 506.52 : x
  2. Step 2: Convert to fraction form
    2,066.51/3,099.70 = 506.52/x
  3. Step 3: Cross multiply
    2,066.51x = 3,099.70 × 506.52
  4. Step 4: Simplify right side
    2,066.51x = 1,570,057.44
  5. Step 5: Solve for x
    x = 1,570,057.44/2,066.51
  6. Step 6: Final answer
    x = 759.76

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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.