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Finding the Fourth Proportional to 2,068.52, 3,103.11 and 682.25

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Solution

The fourth proportional to 2,068.52, 3,103.11 and 682.25 is: 1,023.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.52 : 3,103.11 = 682.25 : x
  2. Step 2: Convert to fraction form
    2,068.52/3,103.11 = 682.25/x
  3. Step 3: Cross multiply
    2,068.52x = 3,103.11 × 682.25
  4. Step 4: Simplify right side
    2,068.52x = 2,117,081.28
  5. Step 5: Solve for x
    x = 2,117,081.28/2,068.52
  6. Step 6: Final answer
    x = 1,023.48

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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.