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Finding the Fourth Proportional to 3,681.57, 5,522.34 and 1,489.71

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Solution

The fourth proportional to 3,681.57, 5,522.34 and 1,489.71 is: 2,234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.57 : 5,522.34 = 1,489.71 : x
  2. Step 2: Convert to fraction form
    3,681.57/5,522.34 = 1,489.71/x
  3. Step 3: Cross multiply
    3,681.57x = 5,522.34 × 1,489.71
  4. Step 4: Simplify right side
    3,681.57x = 8,226,685.12
  5. Step 5: Solve for x
    x = 8,226,685.12/3,681.57
  6. Step 6: Final answer
    x = 2,234.56

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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.