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Finding the Fourth Proportional to 3,847.57, 5,771.76 and 1,897.90

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Solution

The fourth proportional to 3,847.57, 5,771.76 and 1,897.90 is: 2,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.57 : 5,771.76 = 1,897.90 : x
  2. Step 2: Convert to fraction form
    3,847.57/5,771.76 = 1,897.90/x
  3. Step 3: Cross multiply
    3,847.57x = 5,771.76 × 1,897.90
  4. Step 4: Simplify right side
    3,847.57x = 10,954,223.30
  5. Step 5: Solve for x
    x = 10,954,223.30/3,847.57
  6. Step 6: Final answer
    x = 2,847.05

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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.