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Finding the Fourth Proportional to 3,682.35, 5,080.35 and 2,088.78

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Solution

The fourth proportional to 3,682.35, 5,080.35 and 2,088.78 is: 2,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.35 : 5,080.35 = 2,088.78 : x
  2. Step 2: Convert to fraction form
    3,682.35/5,080.35 = 2,088.78/x
  3. Step 3: Cross multiply
    3,682.35x = 5,080.35 × 2,088.78
  4. Step 4: Simplify right side
    3,682.35x = 10,611,733.47
  5. Step 5: Solve for x
    x = 10,611,733.47/3,682.35
  6. Step 6: Final answer
    x = 2,881.78

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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.