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Finding the Fourth Proportional to 5,323.25, 7,986.06 and 1,625.54

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Solution

The fourth proportional to 5,323.25, 7,986.06 and 1,625.54 is: 2,438.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.25 : 7,986.06 = 1,625.54 : x
  2. Step 2: Convert to fraction form
    5,323.25/7,986.06 = 1,625.54/x
  3. Step 3: Cross multiply
    5,323.25x = 7,986.06 × 1,625.54
  4. Step 4: Simplify right side
    5,323.25x = 12,981,620.04
  5. Step 5: Solve for x
    x = 12,981,620.04/5,323.25
  6. Step 6: Final answer
    x = 2,438.66

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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.