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Finding the Fourth Proportional to 18,636, 27,954.84 and 6,946.32

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Solution

The fourth proportional to 18,636, 27,954.84 and 6,946.32 is: 10,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,636 : 27,954.84 = 6,946.32 : x
  2. Step 2: Convert to fraction form
    18,636/27,954.84 = 6,946.32/x
  3. Step 3: Cross multiply
    18,636x = 27,954.84 × 6,946.32
  4. Step 4: Simplify right side
    18,636x = 194,183,264.19
  5. Step 5: Solve for x
    x = 194,183,264.19/18,636
  6. Step 6: Final answer
    x = 10,419.79

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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.