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Finding the Fourth Proportional to 8,821.86, 13,285.60 and 8,034.54

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Solution

The fourth proportional to 8,821.86, 13,285.60 and 8,034.54 is: 12,099.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.86 : 13,285.60 = 8,034.54 : x
  2. Step 2: Convert to fraction form
    8,821.86/13,285.60 = 8,034.54/x
  3. Step 3: Cross multiply
    8,821.86x = 13,285.60 × 8,034.54
  4. Step 4: Simplify right side
    8,821.86x = 106,743,684.62
  5. Step 5: Solve for x
    x = 106,743,684.62/8,821.86
  6. Step 6: Final answer
    x = 12,099.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.