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Finding the Fourth Proportional to 5,186.91, 7,787.63 and 4,951.78

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Solution

The fourth proportional to 5,186.91, 7,787.63 and 4,951.78 is: 7,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.91 : 7,787.63 = 4,951.78 : x
  2. Step 2: Convert to fraction form
    5,186.91/7,787.63 = 4,951.78/x
  3. Step 3: Cross multiply
    5,186.91x = 7,787.63 × 4,951.78
  4. Step 4: Simplify right side
    5,186.91x = 38,562,630.48
  5. Step 5: Solve for x
    x = 38,562,630.48/5,186.91
  6. Step 6: Final answer
    x = 7,434.61

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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.