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Finding the Fourth Proportional to 13,754.11, 18,980.94 and 8,977.11

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Solution

The fourth proportional to 13,754.11, 18,980.94 and 8,977.11 is: 12,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.11 : 18,980.94 = 8,977.11 : x
  2. Step 2: Convert to fraction form
    13,754.11/18,980.94 = 8,977.11/x
  3. Step 3: Cross multiply
    13,754.11x = 18,980.94 × 8,977.11
  4. Step 4: Simplify right side
    13,754.11x = 170,393,986.28
  5. Step 5: Solve for x
    x = 170,393,986.28/13,754.11
  6. Step 6: Final answer
    x = 12,388.59

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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.