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Finding the Fourth Proportional to 8,071.93, 12,107.90 and 2,874.16

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Solution

The fourth proportional to 8,071.93, 12,107.90 and 2,874.16 is: 4,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.93 : 12,107.90 = 2,874.16 : x
  2. Step 2: Convert to fraction form
    8,071.93/12,107.90 = 2,874.16/x
  3. Step 3: Cross multiply
    8,071.93x = 12,107.90 × 2,874.16
  4. Step 4: Simplify right side
    8,071.93x = 34,800,027.49
  5. Step 5: Solve for x
    x = 34,800,027.49/8,071.93
  6. Step 6: Final answer
    x = 4,311.24

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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.