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Finding the Fourth Proportional to 7,977.92, 11,968.78 and 5,058.68

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Solution

The fourth proportional to 7,977.92, 11,968.78 and 5,058.68 is: 7,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.92 : 11,968.78 = 5,058.68 : x
  2. Step 2: Convert to fraction form
    7,977.92/11,968.78 = 5,058.68/x
  3. Step 3: Cross multiply
    7,977.92x = 11,968.78 × 5,058.68
  4. Step 4: Simplify right side
    7,977.92x = 60,546,228.01
  5. Step 5: Solve for x
    x = 60,546,228.01/7,977.92
  6. Step 6: Final answer
    x = 7,589.22

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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.