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Finding the Fourth Proportional to 5,541.76, 8,311.55 and 1,645.30

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Solution

The fourth proportional to 5,541.76, 8,311.55 and 1,645.30 is: 2,467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.76 : 8,311.55 = 1,645.30 : x
  2. Step 2: Convert to fraction form
    5,541.76/8,311.55 = 1,645.30/x
  3. Step 3: Cross multiply
    5,541.76x = 8,311.55 × 1,645.30
  4. Step 4: Simplify right side
    5,541.76x = 13,674,993.22
  5. Step 5: Solve for x
    x = 13,674,993.22/5,541.76
  6. Step 6: Final answer
    x = 2,467.63

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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.