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Finding the Fourth Proportional to 3,781.84, 5,685.72 and 3,496.72

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Solution

The fourth proportional to 3,781.84, 5,685.72 and 3,496.72 is: 5,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.84 : 5,685.72 = 3,496.72 : x
  2. Step 2: Convert to fraction form
    3,781.84/5,685.72 = 3,496.72/x
  3. Step 3: Cross multiply
    3,781.84x = 5,685.72 × 3,496.72
  4. Step 4: Simplify right side
    3,781.84x = 19,881,370.84
  5. Step 5: Solve for x
    x = 19,881,370.84/3,781.84
  6. Step 6: Final answer
    x = 5,257.06

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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.