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Finding the Fourth Proportional to 18,947.82, 28,421.89 and 8,415.02

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Solution

The fourth proportional to 18,947.82, 28,421.89 and 8,415.02 is: 12,622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,947.82 : 28,421.89 = 8,415.02 : x
  2. Step 2: Convert to fraction form
    18,947.82/28,421.89 = 8,415.02/x
  3. Step 3: Cross multiply
    18,947.82x = 28,421.89 × 8,415.02
  4. Step 4: Simplify right side
    18,947.82x = 239,170,822.80
  5. Step 5: Solve for x
    x = 239,170,822.80/18,947.82
  6. Step 6: Final answer
    x = 12,622.60

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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.