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Finding the Fourth Proportional to 8,578.32, 12,867.16 and 3,106.32

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Solution

The fourth proportional to 8,578.32, 12,867.16 and 3,106.32 is: 4,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.32 : 12,867.16 = 3,106.32 : x
  2. Step 2: Convert to fraction form
    8,578.32/12,867.16 = 3,106.32/x
  3. Step 3: Cross multiply
    8,578.32x = 12,867.16 × 3,106.32
  4. Step 4: Simplify right side
    8,578.32x = 39,969,516.45
  5. Step 5: Solve for x
    x = 39,969,516.45/8,578.32
  6. Step 6: Final answer
    x = 4,659.36

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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.