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Finding the Fourth Proportional to 5,672.64, 7,826.43 and 3,433.80

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Solution

The fourth proportional to 5,672.64, 7,826.43 and 3,433.80 is: 4,737.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.64 : 7,826.43 = 3,433.80 : x
  2. Step 2: Convert to fraction form
    5,672.64/7,826.43 = 3,433.80/x
  3. Step 3: Cross multiply
    5,672.64x = 7,826.43 × 3,433.80
  4. Step 4: Simplify right side
    5,672.64x = 26,874,395.33
  5. Step 5: Solve for x
    x = 26,874,395.33/5,672.64
  6. Step 6: Final answer
    x = 4,737.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.