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Finding the Fourth Proportional to 8,000.64, 12,000.82 and 3,615.02

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Solution

The fourth proportional to 8,000.64, 12,000.82 and 3,615.02 is: 5,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.64 : 12,000.82 = 3,615.02 : x
  2. Step 2: Convert to fraction form
    8,000.64/12,000.82 = 3,615.02/x
  3. Step 3: Cross multiply
    8,000.64x = 12,000.82 × 3,615.02
  4. Step 4: Simplify right side
    8,000.64x = 43,383,204.32
  5. Step 5: Solve for x
    x = 43,383,204.32/8,000.64
  6. Step 6: Final answer
    x = 5,422.47

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1.5x scale

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.