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Finding the Fourth Proportional to 8,000.42, 12,003.12 and 2,735.58

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Solution

The fourth proportional to 8,000.42, 12,003.12 and 2,735.58 is: 4,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.42 : 12,003.12 = 2,735.58 : x
  2. Step 2: Convert to fraction form
    8,000.42/12,003.12 = 2,735.58/x
  3. Step 3: Cross multiply
    8,000.42x = 12,003.12 × 2,735.58
  4. Step 4: Simplify right side
    8,000.42x = 32,835,495.01
  5. Step 5: Solve for x
    x = 32,835,495.01/8,000.42
  6. Step 6: Final answer
    x = 4,104.22

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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.