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Finding the Fourth Proportional to 3,773.60, 5,207.74 and 2,072.18

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Solution

The fourth proportional to 3,773.60, 5,207.74 and 2,072.18 is: 2,859.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.60 : 5,207.74 = 2,072.18 : x
  2. Step 2: Convert to fraction form
    3,773.60/5,207.74 = 2,072.18/x
  3. Step 3: Cross multiply
    3,773.60x = 5,207.74 × 2,072.18
  4. Step 4: Simplify right side
    3,773.60x = 10,791,394.17
  5. Step 5: Solve for x
    x = 10,791,394.17/3,773.60
  6. Step 6: Final answer
    x = 2,859.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.