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Finding the Fourth Proportional to 8,382.48, 12,477.96 and 8,257.92

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Solution

The fourth proportional to 8,382.48, 12,477.96 and 8,257.92 is: 12,292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.48 : 12,477.96 = 8,257.92 : x
  2. Step 2: Convert to fraction form
    8,382.48/12,477.96 = 8,257.92/x
  3. Step 3: Cross multiply
    8,382.48x = 12,477.96 × 8,257.92
  4. Step 4: Simplify right side
    8,382.48x = 103,041,995.44
  5. Step 5: Solve for x
    x = 103,041,995.44/8,382.48
  6. Step 6: Final answer
    x = 12,292.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.