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Finding the Fourth Proportional to 8,068.96, 12,102.24 and 3,138.24

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Solution

The fourth proportional to 8,068.96, 12,102.24 and 3,138.24 is: 4,706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,068.96 : 12,102.24 = 3,138.24 : x
  2. Step 2: Convert to fraction form
    8,068.96/12,102.24 = 3,138.24/x
  3. Step 3: Cross multiply
    8,068.96x = 12,102.24 × 3,138.24
  4. Step 4: Simplify right side
    8,068.96x = 37,979,733.66
  5. Step 5: Solve for x
    x = 37,979,733.66/8,068.96
  6. Step 6: Final answer
    x = 4,706.89

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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.