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Finding the Fourth Proportional to 2,066.98, 3,100.67 and 680.32

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Solution

The fourth proportional to 2,066.98, 3,100.67 and 680.32 is: 1,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.98 : 3,100.67 = 680.32 : x
  2. Step 2: Convert to fraction form
    2,066.98/3,100.67 = 680.32/x
  3. Step 3: Cross multiply
    2,066.98x = 3,100.67 × 680.32
  4. Step 4: Simplify right side
    2,066.98x = 2,109,448.29
  5. Step 5: Solve for x
    x = 2,109,448.29/2,066.98
  6. Step 6: Final answer
    x = 1,020.55

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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.