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Finding the Fourth Proportional to 18,657.81, 27,994.01 and 6,968.30

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Solution

The fourth proportional to 18,657.81, 27,994.01 and 6,968.30 is: 10,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657.81 : 27,994.01 = 6,968.30 : x
  2. Step 2: Convert to fraction form
    18,657.81/27,994.01 = 6,968.30/x
  3. Step 3: Cross multiply
    18,657.81x = 27,994.01 × 6,968.30
  4. Step 4: Simplify right side
    18,657.81x = 195,070,485.07
  5. Step 5: Solve for x
    x = 195,070,485.07/18,657.81
  6. Step 6: Final answer
    x = 10,455.17

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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.