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Finding the Fourth Proportional to 11,647.76, 17,480.10 and 8,733.92

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Solution

The fourth proportional to 11,647.76, 17,480.10 and 8,733.92 is: 13,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.76 : 17,480.10 = 8,733.92 : x
  2. Step 2: Convert to fraction form
    11,647.76/17,480.10 = 8,733.92/x
  3. Step 3: Cross multiply
    11,647.76x = 17,480.10 × 8,733.92
  4. Step 4: Simplify right side
    11,647.76x = 152,669,794.99
  5. Step 5: Solve for x
    x = 152,669,794.99/11,647.76
  6. Step 6: Final answer
    x = 13,107.22

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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.