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Finding the Fourth Proportional to 5,787.86, 8,683.41 and 1,838.84

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Solution

The fourth proportional to 5,787.86, 8,683.41 and 1,838.84 is: 2,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.86 : 8,683.41 = 1,838.84 : x
  2. Step 2: Convert to fraction form
    5,787.86/8,683.41 = 1,838.84/x
  3. Step 3: Cross multiply
    5,787.86x = 8,683.41 × 1,838.84
  4. Step 4: Simplify right side
    5,787.86x = 15,967,401.64
  5. Step 5: Solve for x
    x = 15,967,401.64/5,787.86
  6. Step 6: Final answer
    x = 2,758.77

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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.