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Finding the Fourth Proportional to 13,411.99, 18,509.03 and 8,105.77

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Solution

The fourth proportional to 13,411.99, 18,509.03 and 8,105.77 is: 11,186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.99 : 18,509.03 = 8,105.77 : x
  2. Step 2: Convert to fraction form
    13,411.99/18,509.03 = 8,105.77/x
  3. Step 3: Cross multiply
    13,411.99x = 18,509.03 × 8,105.77
  4. Step 4: Simplify right side
    13,411.99x = 150,029,940.10
  5. Step 5: Solve for x
    x = 150,029,940.10/13,411.99
  6. Step 6: Final answer
    x = 11,186.25

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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.