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Finding the Fourth Proportional to 3,830.72, 5,746.10 and 2,098.40

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Solution

The fourth proportional to 3,830.72, 5,746.10 and 2,098.40 is: 3,147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.72 : 5,746.10 = 2,098.40 : x
  2. Step 2: Convert to fraction form
    3,830.72/5,746.10 = 2,098.40/x
  3. Step 3: Cross multiply
    3,830.72x = 5,746.10 × 2,098.40
  4. Step 4: Simplify right side
    3,830.72x = 12,057,616.24
  5. Step 5: Solve for x
    x = 12,057,616.24/3,830.72
  6. Step 6: Final answer
    x = 3,147.61

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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.