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Finding the Fourth Proportional to 5,058.80, 6,978.54 and 3,379.67

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Solution

The fourth proportional to 5,058.80, 6,978.54 and 3,379.67 is: 4,662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.80 : 6,978.54 = 3,379.67 : x
  2. Step 2: Convert to fraction form
    5,058.80/6,978.54 = 3,379.67/x
  3. Step 3: Cross multiply
    5,058.80x = 6,978.54 × 3,379.67
  4. Step 4: Simplify right side
    5,058.80x = 23,585,110.49
  5. Step 5: Solve for x
    x = 23,585,110.49/5,058.80
  6. Step 6: Final answer
    x = 4,662.20

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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.