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Finding the Fourth Proportional to 18,671.82, 28,006.74 and 6,984.15

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Solution

The fourth proportional to 18,671.82, 28,006.74 and 6,984.15 is: 10,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,671.82 : 28,006.74 = 6,984.15 : x
  2. Step 2: Convert to fraction form
    18,671.82/28,006.74 = 6,984.15/x
  3. Step 3: Cross multiply
    18,671.82x = 28,006.74 × 6,984.15
  4. Step 4: Simplify right side
    18,671.82x = 195,603,273.17
  5. Step 5: Solve for x
    x = 195,603,273.17/18,671.82
  6. Step 6: Final answer
    x = 10,475.85

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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.