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Finding the Fourth Proportional to 8,113.62, 12,188.79 and 7,006.44

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Solution

The fourth proportional to 8,113.62, 12,188.79 and 7,006.44 is: 10,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.62 : 12,188.79 = 7,006.44 : x
  2. Step 2: Convert to fraction form
    8,113.62/12,188.79 = 7,006.44/x
  3. Step 3: Cross multiply
    8,113.62x = 12,188.79 × 7,006.44
  4. Step 4: Simplify right side
    8,113.62x = 85,400,025.81
  5. Step 5: Solve for x
    x = 85,400,025.81/8,113.62
  6. Step 6: Final answer
    x = 10,525.51

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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.