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Finding the Fourth Proportional to 8,289.78, 11,436.78 and 4,932.78

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Solution

The fourth proportional to 8,289.78, 11,436.78 and 4,932.78 is: 6,805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.78 : 11,436.78 = 4,932.78 : x
  2. Step 2: Convert to fraction form
    8,289.78/11,436.78 = 4,932.78/x
  3. Step 3: Cross multiply
    8,289.78x = 11,436.78 × 4,932.78
  4. Step 4: Simplify right side
    8,289.78x = 56,415,119.65
  5. Step 5: Solve for x
    x = 56,415,119.65/8,289.78
  6. Step 6: Final answer
    x = 6,805.38

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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.