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Finding the Fourth Proportional to 8,382.70, 12,575.66 and 3,188.16

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Solution

The fourth proportional to 8,382.70, 12,575.66 and 3,188.16 is: 4,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.70 : 12,575.66 = 3,188.16 : x
  2. Step 2: Convert to fraction form
    8,382.70/12,575.66 = 3,188.16/x
  3. Step 3: Cross multiply
    8,382.70x = 12,575.66 × 3,188.16
  4. Step 4: Simplify right side
    8,382.70x = 40,093,216.19
  5. Step 5: Solve for x
    x = 40,093,216.19/8,382.70
  6. Step 6: Final answer
    x = 4,782.85

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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.