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Finding the Fourth Proportional to 5,711.79, 7,879.95 and 3,798.52

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Solution

The fourth proportional to 5,711.79, 7,879.95 and 3,798.52 is: 5,240.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.79 : 7,879.95 = 3,798.52 : x
  2. Step 2: Convert to fraction form
    5,711.79/7,879.95 = 3,798.52/x
  3. Step 3: Cross multiply
    5,711.79x = 7,879.95 × 3,798.52
  4. Step 4: Simplify right side
    5,711.79x = 29,932,147.67
  5. Step 5: Solve for x
    x = 29,932,147.67/5,711.79
  6. Step 6: Final answer
    x = 5,240.41

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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.