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Finding the Fourth Proportional to 5,228.88, 7,841.74 and 2,107.88

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Solution

The fourth proportional to 5,228.88, 7,841.74 and 2,107.88 is: 3,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.88 : 7,841.74 = 2,107.88 : x
  2. Step 2: Convert to fraction form
    5,228.88/7,841.74 = 2,107.88/x
  3. Step 3: Cross multiply
    5,228.88x = 7,841.74 × 2,107.88
  4. Step 4: Simplify right side
    5,228.88x = 16,529,446.91
  5. Step 5: Solve for x
    x = 16,529,446.91/5,228.88
  6. Step 6: Final answer
    x = 3,161.18

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1.5x scale

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.