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Finding the Fourth Proportional to 2,817.86, 4,225 and 2,471.88

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Solution

The fourth proportional to 2,817.86, 4,225 and 2,471.88 is: 3,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.86 : 4,225 = 2,471.88 : x
  2. Step 2: Convert to fraction form
    2,817.86/4,225 = 2,471.88/x
  3. Step 3: Cross multiply
    2,817.86x = 4,225 × 2,471.88
  4. Step 4: Simplify right side
    2,817.86x = 10,443,693
  5. Step 5: Solve for x
    x = 10,443,693/2,817.86
  6. Step 6: Final answer
    x = 3,706.25

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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.