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Finding the Fourth Proportional to 2,086.36, 3,129.96 and 787.84

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Solution

The fourth proportional to 2,086.36, 3,129.96 and 787.84 is: 1,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.36 : 3,129.96 = 787.84 : x
  2. Step 2: Convert to fraction form
    2,086.36/3,129.96 = 787.84/x
  3. Step 3: Cross multiply
    2,086.36x = 3,129.96 × 787.84
  4. Step 4: Simplify right side
    2,086.36x = 2,465,907.69
  5. Step 5: Solve for x
    x = 2,465,907.69/2,086.36
  6. Step 6: Final answer
    x = 1,181.92

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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.