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Finding the Fourth Proportional to 4,561.86, 6,838.43 and 1,787.61

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Solution

The fourth proportional to 4,561.86, 6,838.43 and 1,787.61 is: 2,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.86 : 6,838.43 = 1,787.61 : x
  2. Step 2: Convert to fraction form
    4,561.86/6,838.43 = 1,787.61/x
  3. Step 3: Cross multiply
    4,561.86x = 6,838.43 × 1,787.61
  4. Step 4: Simplify right side
    4,561.86x = 12,224,450.32
  5. Step 5: Solve for x
    x = 12,224,450.32/4,561.86
  6. Step 6: Final answer
    x = 2,679.71

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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.