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Finding the Fourth Proportional to 5,379, 8,062.74 and 2,258.22

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Solution

The fourth proportional to 5,379, 8,062.74 and 2,258.22 is: 3,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,379 : 8,062.74 = 2,258.22 : x
  2. Step 2: Convert to fraction form
    5,379/8,062.74 = 2,258.22/x
  3. Step 3: Cross multiply
    5,379x = 8,062.74 × 2,258.22
  4. Step 4: Simplify right side
    5,379x = 18,207,440.72
  5. Step 5: Solve for x
    x = 18,207,440.72/5,379
  6. Step 6: Final answer
    x = 3,384.91

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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.