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Finding the Fourth Proportional to 5,217.76, 7,826.76 and 2,098.08

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Solution

The fourth proportional to 5,217.76, 7,826.76 and 2,098.08 is: 3,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.76 : 7,826.76 = 2,098.08 : x
  2. Step 2: Convert to fraction form
    5,217.76/7,826.76 = 2,098.08/x
  3. Step 3: Cross multiply
    5,217.76x = 7,826.76 × 2,098.08
  4. Step 4: Simplify right side
    5,217.76x = 16,421,168.62
  5. Step 5: Solve for x
    x = 16,421,168.62/5,217.76
  6. Step 6: Final answer
    x = 3,147.17

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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.