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Finding the Fourth Proportional to 8,283.78, 12,411.09 and 7,379.82

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Solution

The fourth proportional to 8,283.78, 12,411.09 and 7,379.82 is: 11,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.78 : 12,411.09 = 7,379.82 : x
  2. Step 2: Convert to fraction form
    8,283.78/12,411.09 = 7,379.82/x
  3. Step 3: Cross multiply
    8,283.78x = 12,411.09 × 7,379.82
  4. Step 4: Simplify right side
    8,283.78x = 91,591,610.20
  5. Step 5: Solve for x
    x = 91,591,610.20/8,283.78
  6. Step 6: Final answer
    x = 11,056.74

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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.