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Finding the Fourth Proportional to 8,509.60, 12,769.20 and 3,314.80

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Solution

The fourth proportional to 8,509.60, 12,769.20 and 3,314.80 is: 4,974.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.60 : 12,769.20 = 3,314.80 : x
  2. Step 2: Convert to fraction form
    8,509.60/12,769.20 = 3,314.80/x
  3. Step 3: Cross multiply
    8,509.60x = 12,769.20 × 3,314.80
  4. Step 4: Simplify right side
    8,509.60x = 42,327,344.16
  5. Step 5: Solve for x
    x = 42,327,344.16/8,509.60
  6. Step 6: Final answer
    x = 4,974.07

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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.