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Finding the Fourth Proportional to 8,382.15, 11,647.56 and 8,291.01

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Solution

The fourth proportional to 8,382.15, 11,647.56 and 8,291.01 is: 11,520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.15 : 11,647.56 = 8,291.01 : x
  2. Step 2: Convert to fraction form
    8,382.15/11,647.56 = 8,291.01/x
  3. Step 3: Cross multiply
    8,382.15x = 11,647.56 × 8,291.01
  4. Step 4: Simplify right side
    8,382.15x = 96,570,036.44
  5. Step 5: Solve for x
    x = 96,570,036.44/8,382.15
  6. Step 6: Final answer
    x = 11,520.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.