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Finding the Fourth Proportional to 18,667.80, 27,988.56 and 6,977.88

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Solution

The fourth proportional to 18,667.80, 27,988.56 and 6,977.88 is: 10,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,667.80 : 27,988.56 = 6,977.88 : x
  2. Step 2: Convert to fraction form
    18,667.80/27,988.56 = 6,977.88/x
  3. Step 3: Cross multiply
    18,667.80x = 27,988.56 × 6,977.88
  4. Step 4: Simplify right side
    18,667.80x = 195,300,813.05
  5. Step 5: Solve for x
    x = 195,300,813.05/18,667.80
  6. Step 6: Final answer
    x = 10,461.91

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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.