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Finding the Fourth Proportional to 11,469.99, 15,819.46 and 9,477.09

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Solution

The fourth proportional to 11,469.99, 15,819.46 and 9,477.09 is: 13,070.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.99 : 15,819.46 = 9,477.09 : x
  2. Step 2: Convert to fraction form
    11,469.99/15,819.46 = 9,477.09/x
  3. Step 3: Cross multiply
    11,469.99x = 15,819.46 × 9,477.09
  4. Step 4: Simplify right side
    11,469.99x = 149,922,414.55
  5. Step 5: Solve for x
    x = 149,922,414.55/11,469.99
  6. Step 6: Final answer
    x = 13,070.84

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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.