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Finding the Fourth Proportional to 8,000.57, 12,009.31 and 4,493.58

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Solution

The fourth proportional to 8,000.57, 12,009.31 and 4,493.58 is: 6,745.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.57 : 12,009.31 = 4,493.58 : x
  2. Step 2: Convert to fraction form
    8,000.57/12,009.31 = 4,493.58/x
  3. Step 3: Cross multiply
    8,000.57x = 12,009.31 × 4,493.58
  4. Step 4: Simplify right side
    8,000.57x = 53,964,735.18
  5. Step 5: Solve for x
    x = 53,964,735.18/8,000.57
  6. Step 6: Final answer
    x = 6,745.11

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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.