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Finding the Fourth Proportional to 1,690.20, 2,536.07 and 1,073.74

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Solution

The fourth proportional to 1,690.20, 2,536.07 and 1,073.74 is: 1,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.20 : 2,536.07 = 1,073.74 : x
  2. Step 2: Convert to fraction form
    1,690.20/2,536.07 = 1,073.74/x
  3. Step 3: Cross multiply
    1,690.20x = 2,536.07 × 1,073.74
  4. Step 4: Simplify right side
    1,690.20x = 2,723,079.80
  5. Step 5: Solve for x
    x = 2,723,079.80/1,690.20
  6. Step 6: Final answer
    x = 1,611.10

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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.