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Finding the Fourth Proportional to 8,596.78, 12,894.04 and 3,911.74

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Solution

The fourth proportional to 8,596.78, 12,894.04 and 3,911.74 is: 5,867.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.78 : 12,894.04 = 3,911.74 : x
  2. Step 2: Convert to fraction form
    8,596.78/12,894.04 = 3,911.74/x
  3. Step 3: Cross multiply
    8,596.78x = 12,894.04 × 3,911.74
  4. Step 4: Simplify right side
    8,596.78x = 50,438,155.21
  5. Step 5: Solve for x
    x = 50,438,155.21/8,596.78
  6. Step 6: Final answer
    x = 5,867.10

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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.