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Finding the Fourth Proportional to 8,207.53, 12,311.53 and 2,942.93

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Solution

The fourth proportional to 8,207.53, 12,311.53 and 2,942.93 is: 4,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.53 : 12,311.53 = 2,942.93 : x
  2. Step 2: Convert to fraction form
    8,207.53/12,311.53 = 2,942.93/x
  3. Step 3: Cross multiply
    8,207.53x = 12,311.53 × 2,942.93
  4. Step 4: Simplify right side
    8,207.53x = 36,231,994.40
  5. Step 5: Solve for x
    x = 36,231,994.40/8,207.53
  6. Step 6: Final answer
    x = 4,414.48

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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.