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Finding the Fourth Proportional to 18,636, 27,954 and 4,785

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Solution

The fourth proportional to 18,636, 27,954 and 4,785 is: 7,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,636 : 27,954 = 4,785 : x
  2. Step 2: Convert to fraction form
    18,636/27,954 = 4,785/x
  3. Step 3: Cross multiply
    18,636x = 27,954 × 4,785
  4. Step 4: Simplify right side
    18,636x = 133,759,890
  5. Step 5: Solve for x
    x = 133,759,890/18,636
  6. Step 6: Final answer
    x = 7,177.50

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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.