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Finding the Fourth Proportional to 7,863, 10,851.46 and 4,551

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Solution

The fourth proportional to 7,863, 10,851.46 and 4,551 is: 6,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863 : 10,851.46 = 4,551 : x
  2. Step 2: Convert to fraction form
    7,863/10,851.46 = 4,551/x
  3. Step 3: Cross multiply
    7,863x = 10,851.46 × 4,551
  4. Step 4: Simplify right side
    7,863x = 49,384,994.46
  5. Step 5: Solve for x
    x = 49,384,994.46/7,863
  6. Step 6: Final answer
    x = 6,280.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.