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Finding the Fourth Proportional to 2,787.77, 4,181.82 and 839.77

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Solution

The fourth proportional to 2,787.77, 4,181.82 and 839.77 is: 1,259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.77 : 4,181.82 = 839.77 : x
  2. Step 2: Convert to fraction form
    2,787.77/4,181.82 = 839.77/x
  3. Step 3: Cross multiply
    2,787.77x = 4,181.82 × 839.77
  4. Step 4: Simplify right side
    2,787.77x = 3,511,762.78
  5. Step 5: Solve for x
    x = 3,511,762.78/2,787.77
  6. Step 6: Final answer
    x = 1,259.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.