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Finding the Fourth Proportional to 13,178.68, 18,186.35 and 8,073.41

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Solution

The fourth proportional to 13,178.68, 18,186.35 and 8,073.41 is: 11,141.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.68 : 18,186.35 = 8,073.41 : x
  2. Step 2: Convert to fraction form
    13,178.68/18,186.35 = 8,073.41/x
  3. Step 3: Cross multiply
    13,178.68x = 18,186.35 × 8,073.41
  4. Step 4: Simplify right side
    13,178.68x = 146,825,859.95
  5. Step 5: Solve for x
    x = 146,825,859.95/13,178.68
  6. Step 6: Final answer
    x = 11,141.17

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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.