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Finding the Fourth Proportional to 8,555.86, 12,854.34 and 8,083.81

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Solution

The fourth proportional to 8,555.86, 12,854.34 and 8,083.81 is: 12,145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,555.86 : 12,854.34 = 8,083.81 : x
  2. Step 2: Convert to fraction form
    8,555.86/12,854.34 = 8,083.81/x
  3. Step 3: Cross multiply
    8,555.86x = 12,854.34 × 8,083.81
  4. Step 4: Simplify right side
    8,555.86x = 103,912,042.24
  5. Step 5: Solve for x
    x = 103,912,042.24/8,555.86
  6. Step 6: Final answer
    x = 12,145.13

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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.