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Finding the Fourth Proportional to 8,280.29, 12,420 and 2,039.99

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Solution

The fourth proportional to 8,280.29, 12,420 and 2,039.99 is: 3,059.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.29 : 12,420 = 2,039.99 : x
  2. Step 2: Convert to fraction form
    8,280.29/12,420 = 2,039.99/x
  3. Step 3: Cross multiply
    8,280.29x = 12,420 × 2,039.99
  4. Step 4: Simplify right side
    8,280.29x = 25,336,613.70
  5. Step 5: Solve for x
    x = 25,336,613.70/8,280.29
  6. Step 6: Final answer
    x = 3,059.87

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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.