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Finding the Fourth Proportional to 5,285.82, 7,922.76 and 2,508.64

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Solution

The fourth proportional to 5,285.82, 7,922.76 and 2,508.64 is: 3,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.82 : 7,922.76 = 2,508.64 : x
  2. Step 2: Convert to fraction form
    5,285.82/7,922.76 = 2,508.64/x
  3. Step 3: Cross multiply
    5,285.82x = 7,922.76 × 2,508.64
  4. Step 4: Simplify right side
    5,285.82x = 19,875,352.65
  5. Step 5: Solve for x
    x = 19,875,352.65/5,285.82
  6. Step 6: Final answer
    x = 3,760.13

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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.