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Finding the Fourth Proportional to 8,209.60, 12,316.20 and 4,051.60

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Solution

The fourth proportional to 8,209.60, 12,316.20 and 4,051.60 is: 6,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.60 : 12,316.20 = 4,051.60 : x
  2. Step 2: Convert to fraction form
    8,209.60/12,316.20 = 4,051.60/x
  3. Step 3: Cross multiply
    8,209.60x = 12,316.20 × 4,051.60
  4. Step 4: Simplify right side
    8,209.60x = 49,900,315.92
  5. Step 5: Solve for x
    x = 49,900,315.92/8,209.60
  6. Step 6: Final answer
    x = 6,078.29

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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.