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Finding the Fourth Proportional to 7,898.26, 11,847.42 and 3,281.26

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Solution

The fourth proportional to 7,898.26, 11,847.42 and 3,281.26 is: 4,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.26 : 11,847.42 = 3,281.26 : x
  2. Step 2: Convert to fraction form
    7,898.26/11,847.42 = 3,281.26/x
  3. Step 3: Cross multiply
    7,898.26x = 11,847.42 × 3,281.26
  4. Step 4: Simplify right side
    7,898.26x = 38,874,465.35
  5. Step 5: Solve for x
    x = 38,874,465.35/7,898.26
  6. Step 6: Final answer
    x = 4,921.90

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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.