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Finding the Fourth Proportional to 3,874.02, 5,810.16 and 1,898.86

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Solution

The fourth proportional to 3,874.02, 5,810.16 and 1,898.86 is: 2,847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.02 : 5,810.16 = 1,898.86 : x
  2. Step 2: Convert to fraction form
    3,874.02/5,810.16 = 1,898.86/x
  3. Step 3: Cross multiply
    3,874.02x = 5,810.16 × 1,898.86
  4. Step 4: Simplify right side
    3,874.02x = 11,032,680.42
  5. Step 5: Solve for x
    x = 11,032,680.42/3,874.02
  6. Step 6: Final answer
    x = 2,847.86

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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.