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Finding the Fourth Proportional to 8,480.59, 12,722.35 and 2,857.72

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Solution

The fourth proportional to 8,480.59, 12,722.35 and 2,857.72 is: 4,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480.59 : 12,722.35 = 2,857.72 : x
  2. Step 2: Convert to fraction form
    8,480.59/12,722.35 = 2,857.72/x
  3. Step 3: Cross multiply
    8,480.59x = 12,722.35 × 2,857.72
  4. Step 4: Simplify right side
    8,480.59x = 36,356,914.04
  5. Step 5: Solve for x
    x = 36,356,914.04/8,480.59
  6. Step 6: Final answer
    x = 4,287.07

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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.