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Finding the Fourth Proportional to 5,541.54, 8,312.79 and 1,843.80

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Solution

The fourth proportional to 5,541.54, 8,312.79 and 1,843.80 is: 2,765.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.54 : 8,312.79 = 1,843.80 : x
  2. Step 2: Convert to fraction form
    5,541.54/8,312.79 = 1,843.80/x
  3. Step 3: Cross multiply
    5,541.54x = 8,312.79 × 1,843.80
  4. Step 4: Simplify right side
    5,541.54x = 15,327,122.20
  5. Step 5: Solve for x
    x = 15,327,122.20/5,541.54
  6. Step 6: Final answer
    x = 2,765.86

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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.