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Finding the Fourth Proportional to 5,787.65, 8,677.83 and 3,811.15

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Solution

The fourth proportional to 5,787.65, 8,677.83 and 3,811.15 is: 5,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.65 : 8,677.83 = 3,811.15 : x
  2. Step 2: Convert to fraction form
    5,787.65/8,677.83 = 3,811.15/x
  3. Step 3: Cross multiply
    5,787.65x = 8,677.83 × 3,811.15
  4. Step 4: Simplify right side
    5,787.65x = 33,072,536.94
  5. Step 5: Solve for x
    x = 33,072,536.94/5,787.65
  6. Step 6: Final answer
    x = 5,714.33

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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.