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Finding the Fourth Proportional to 8,138.76, 12,188.23 and 7,349.91

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Solution

The fourth proportional to 8,138.76, 12,188.23 and 7,349.91 is: 11,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.76 : 12,188.23 = 7,349.91 : x
  2. Step 2: Convert to fraction form
    8,138.76/12,188.23 = 7,349.91/x
  3. Step 3: Cross multiply
    8,138.76x = 12,188.23 × 7,349.91
  4. Step 4: Simplify right side
    8,138.76x = 89,582,393.56
  5. Step 5: Solve for x
    x = 89,582,393.56/8,138.76
  6. Step 6: Final answer
    x = 11,006.88

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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.