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Finding the Fourth Proportional to 3,698.70, 5,098.90 and 2,281.43

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Solution

The fourth proportional to 3,698.70, 5,098.90 and 2,281.43 is: 3,145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.70 : 5,098.90 = 2,281.43 : x
  2. Step 2: Convert to fraction form
    3,698.70/5,098.90 = 2,281.43/x
  3. Step 3: Cross multiply
    3,698.70x = 5,098.90 × 2,281.43
  4. Step 4: Simplify right side
    3,698.70x = 11,632,794.75
  5. Step 5: Solve for x
    x = 11,632,794.75/3,698.70
  6. Step 6: Final answer
    x = 3,145.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.