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Finding the Fourth Proportional to 8,578.71, 12,863.94 and 3,645.66

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Solution

The fourth proportional to 8,578.71, 12,863.94 and 3,645.66 is: 5,466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.71 : 12,863.94 = 3,645.66 : x
  2. Step 2: Convert to fraction form
    8,578.71/12,863.94 = 3,645.66/x
  3. Step 3: Cross multiply
    8,578.71x = 12,863.94 × 3,645.66
  4. Step 4: Simplify right side
    8,578.71x = 46,897,551.50
  5. Step 5: Solve for x
    x = 46,897,551.50/8,578.71
  6. Step 6: Final answer
    x = 5,466.74

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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.