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Finding the Fourth Proportional to 8,283, 12,424.52 and 2,439.48

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Solution

The fourth proportional to 8,283, 12,424.52 and 2,439.48 is: 3,659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283 : 12,424.52 = 2,439.48 : x
  2. Step 2: Convert to fraction form
    8,283/12,424.52 = 2,439.48/x
  3. Step 3: Cross multiply
    8,283x = 12,424.52 × 2,439.48
  4. Step 4: Simplify right side
    8,283x = 30,309,368.05
  5. Step 5: Solve for x
    x = 30,309,368.05/8,283
  6. Step 6: Final answer
    x = 3,659.23

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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.