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Finding the Fourth Proportional to 3,897.62, 5,837.84 and 3,222.86

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Solution

The fourth proportional to 3,897.62, 5,837.84 and 3,222.86 is: 4,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.62 : 5,837.84 = 3,222.86 : x
  2. Step 2: Convert to fraction form
    3,897.62/5,837.84 = 3,222.86/x
  3. Step 3: Cross multiply
    3,897.62x = 5,837.84 × 3,222.86
  4. Step 4: Simplify right side
    3,897.62x = 18,814,541.02
  5. Step 5: Solve for x
    x = 18,814,541.02/3,897.62
  6. Step 6: Final answer
    x = 4,827.19

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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.