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Finding the Fourth Proportional to 8,536.96, 12,800.88 and 3,916

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Solution

The fourth proportional to 8,536.96, 12,800.88 and 3,916 is: 5,871.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.96 : 12,800.88 = 3,916 : x
  2. Step 2: Convert to fraction form
    8,536.96/12,800.88 = 3,916/x
  3. Step 3: Cross multiply
    8,536.96x = 12,800.88 × 3,916
  4. Step 4: Simplify right side
    8,536.96x = 50,128,246.08
  5. Step 5: Solve for x
    x = 50,128,246.08/8,536.96
  6. Step 6: Final answer
    x = 5,871.91

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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.