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Finding the Fourth Proportional to 5,879.84, 8,111.76 and 3,892.64

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Solution

The fourth proportional to 5,879.84, 8,111.76 and 3,892.64 is: 5,370.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.84 : 8,111.76 = 3,892.64 : x
  2. Step 2: Convert to fraction form
    5,879.84/8,111.76 = 3,892.64/x
  3. Step 3: Cross multiply
    5,879.84x = 8,111.76 × 3,892.64
  4. Step 4: Simplify right side
    5,879.84x = 31,576,161.45
  5. Step 5: Solve for x
    x = 31,576,161.45/5,879.84
  6. Step 6: Final answer
    x = 5,370.24

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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.