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Finding the Fourth Proportional to 8,454.36, 12,665.72 and 7,076.54

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Solution

The fourth proportional to 8,454.36, 12,665.72 and 7,076.54 is: 10,601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.36 : 12,665.72 = 7,076.54 : x
  2. Step 2: Convert to fraction form
    8,454.36/12,665.72 = 7,076.54/x
  3. Step 3: Cross multiply
    8,454.36x = 12,665.72 × 7,076.54
  4. Step 4: Simplify right side
    8,454.36x = 89,629,474.21
  5. Step 5: Solve for x
    x = 89,629,474.21/8,454.36
  6. Step 6: Final answer
    x = 10,601.57

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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.