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Finding the Fourth Proportional to 5,323.21, 7,972.63 and 2,551.84

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Solution

The fourth proportional to 5,323.21, 7,972.63 and 2,551.84 is: 3,821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.21 : 7,972.63 = 2,551.84 : x
  2. Step 2: Convert to fraction form
    5,323.21/7,972.63 = 2,551.84/x
  3. Step 3: Cross multiply
    5,323.21x = 7,972.63 × 2,551.84
  4. Step 4: Simplify right side
    5,323.21x = 20,344,876.14
  5. Step 5: Solve for x
    x = 20,344,876.14/5,323.21
  6. Step 6: Final answer
    x = 3,821.92

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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.