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Finding the Fourth Proportional to 2,847.79, 4,272.32 and 873.70

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Solution

The fourth proportional to 2,847.79, 4,272.32 and 873.70 is: 1,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.79 : 4,272.32 = 873.70 : x
  2. Step 2: Convert to fraction form
    2,847.79/4,272.32 = 873.70/x
  3. Step 3: Cross multiply
    2,847.79x = 4,272.32 × 873.70
  4. Step 4: Simplify right side
    2,847.79x = 3,732,725.98
  5. Step 5: Solve for x
    x = 3,732,725.98/2,847.79
  6. Step 6: Final answer
    x = 1,310.74

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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.