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Finding the Fourth Proportional to 2,066.48, 3,100.26 and 680.02

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Solution

The fourth proportional to 2,066.48, 3,100.26 and 680.02 is: 1,020.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.48 : 3,100.26 = 680.02 : x
  2. Step 2: Convert to fraction form
    2,066.48/3,100.26 = 680.02/x
  3. Step 3: Cross multiply
    2,066.48x = 3,100.26 × 680.02
  4. Step 4: Simplify right side
    2,066.48x = 2,108,238.81
  5. Step 5: Solve for x
    x = 2,108,238.81/2,066.48
  6. Step 6: Final answer
    x = 1,020.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.