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Finding the Fourth Proportional to 8,508.63, 12,763.86 and 3,578.77

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Solution

The fourth proportional to 8,508.63, 12,763.86 and 3,578.77 is: 5,368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,508.63 : 12,763.86 = 3,578.77 : x
  2. Step 2: Convert to fraction form
    8,508.63/12,763.86 = 3,578.77/x
  3. Step 3: Cross multiply
    8,508.63x = 12,763.86 × 3,578.77
  4. Step 4: Simplify right side
    8,508.63x = 45,678,919.25
  5. Step 5: Solve for x
    x = 45,678,919.25/8,508.63
  6. Step 6: Final answer
    x = 5,368.54

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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.