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Finding the Fourth Proportional to 18,106, 27,164.28 and 7,718.80

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Solution

The fourth proportional to 18,106, 27,164.28 and 7,718.80 is: 11,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,106 : 27,164.28 = 7,718.80 : x
  2. Step 2: Convert to fraction form
    18,106/27,164.28 = 7,718.80/x
  3. Step 3: Cross multiply
    18,106x = 27,164.28 × 7,718.80
  4. Step 4: Simplify right side
    18,106x = 209,675,644.46
  5. Step 5: Solve for x
    x = 209,675,644.46/18,106
  6. Step 6: Final answer
    x = 11,580.45

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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.