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Finding the Fourth Proportional to 2,781.56, 3,838.74 and 1,787.15

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Solution

The fourth proportional to 2,781.56, 3,838.74 and 1,787.15 is: 2,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.56 : 3,838.74 = 1,787.15 : x
  2. Step 2: Convert to fraction form
    2,781.56/3,838.74 = 1,787.15/x
  3. Step 3: Cross multiply
    2,781.56x = 3,838.74 × 1,787.15
  4. Step 4: Simplify right side
    2,781.56x = 6,860,395.55
  5. Step 5: Solve for x
    x = 6,860,395.55/2,781.56
  6. Step 6: Final answer
    x = 2,466.39

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Why These Related Problems?

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