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Finding the Fourth Proportional to 9,190.99, 12,682.20 and 5,411.94

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Solution

The fourth proportional to 9,190.99, 12,682.20 and 5,411.94 is: 7,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.99 : 12,682.20 = 5,411.94 : x
  2. Step 2: Convert to fraction form
    9,190.99/12,682.20 = 5,411.94/x
  3. Step 3: Cross multiply
    9,190.99x = 12,682.20 × 5,411.94
  4. Step 4: Simplify right side
    9,190.99x = 68,635,305.47
  5. Step 5: Solve for x
    x = 68,635,305.47/9,190.99
  6. Step 6: Final answer
    x = 7,467.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.