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Finding the Fourth Proportional to 5,520.34, 8,281.05 and 1,822.69

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Solution

The fourth proportional to 5,520.34, 8,281.05 and 1,822.69 is: 2,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,520.34 : 8,281.05 = 1,822.69 : x
  2. Step 2: Convert to fraction form
    5,520.34/8,281.05 = 1,822.69/x
  3. Step 3: Cross multiply
    5,520.34x = 8,281.05 × 1,822.69
  4. Step 4: Simplify right side
    5,520.34x = 15,093,787.02
  5. Step 5: Solve for x
    x = 15,093,787.02/5,520.34
  6. Step 6: Final answer
    x = 2,734.21

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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.