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Finding the Fourth Proportional to 8,284.02, 12,419 and 3,600.50

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Solution

The fourth proportional to 8,284.02, 12,419 and 3,600.50 is: 5,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.02 : 12,419 = 3,600.50 : x
  2. Step 2: Convert to fraction form
    8,284.02/12,419 = 3,600.50/x
  3. Step 3: Cross multiply
    8,284.02x = 12,419 × 3,600.50
  4. Step 4: Simplify right side
    8,284.02x = 44,714,609.50
  5. Step 5: Solve for x
    x = 44,714,609.50/8,284.02
  6. Step 6: Final answer
    x = 5,397.69

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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.