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Finding the Fourth Proportional to 7,878.78, 11,790.92 and 6,456.77

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Solution

The fourth proportional to 7,878.78, 11,790.92 and 6,456.77 is: 9,662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.78 : 11,790.92 = 6,456.77 : x
  2. Step 2: Convert to fraction form
    7,878.78/11,790.92 = 6,456.77/x
  3. Step 3: Cross multiply
    7,878.78x = 11,790.92 × 6,456.77
  4. Step 4: Simplify right side
    7,878.78x = 76,131,167.29
  5. Step 5: Solve for x
    x = 76,131,167.29/7,878.78
  6. Step 6: Final answer
    x = 9,662.81

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1.5x scale

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.