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Finding the Fourth Proportional to 8,636.16, 11,919.04 and 4,909.44

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Solution

The fourth proportional to 8,636.16, 11,919.04 and 4,909.44 is: 6,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,636.16 : 11,919.04 = 4,909.44 : x
  2. Step 2: Convert to fraction form
    8,636.16/11,919.04 = 4,909.44/x
  3. Step 3: Cross multiply
    8,636.16x = 11,919.04 × 4,909.44
  4. Step 4: Simplify right side
    8,636.16x = 58,515,811.74
  5. Step 5: Solve for x
    x = 58,515,811.74/8,636.16
  6. Step 6: Final answer
    x = 6,775.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.