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Finding the Fourth Proportional to 8,000.42, 12,001.64 and 2,736.45

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Solution

The fourth proportional to 8,000.42, 12,001.64 and 2,736.45 is: 4,105.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.42 : 12,001.64 = 2,736.45 : x
  2. Step 2: Convert to fraction form
    8,000.42/12,001.64 = 2,736.45/x
  3. Step 3: Cross multiply
    8,000.42x = 12,001.64 × 2,736.45
  4. Step 4: Simplify right side
    8,000.42x = 32,841,874.10
  5. Step 5: Solve for x
    x = 32,841,874.10/8,000.42
  6. Step 6: Final answer
    x = 4,105.02

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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.