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Finding the Fourth Proportional to 8,392.86, 11,582.87 and 4,616.78

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Solution

The fourth proportional to 8,392.86, 11,582.87 and 4,616.78 is: 6,371.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392.86 : 11,582.87 = 4,616.78 : x
  2. Step 2: Convert to fraction form
    8,392.86/11,582.87 = 4,616.78/x
  3. Step 3: Cross multiply
    8,392.86x = 11,582.87 × 4,616.78
  4. Step 4: Simplify right side
    8,392.86x = 53,475,481.56
  5. Step 5: Solve for x
    x = 53,475,481.56/8,392.86
  6. Step 6: Final answer
    x = 6,371.54

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1.5x scale

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.