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Finding the Fourth Proportional to 2,884.75, 4,327.12 and 2,271.71

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Solution

The fourth proportional to 2,884.75, 4,327.12 and 2,271.71 is: 3,407.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.75 : 4,327.12 = 2,271.71 : x
  2. Step 2: Convert to fraction form
    2,884.75/4,327.12 = 2,271.71/x
  3. Step 3: Cross multiply
    2,884.75x = 4,327.12 × 2,271.71
  4. Step 4: Simplify right side
    2,884.75x = 9,829,975.43
  5. Step 5: Solve for x
    x = 9,829,975.43/2,884.75
  6. Step 6: Final answer
    x = 3,407.57

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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.