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Finding the Fourth Proportional to 8,620.14, 12,930.29 and 2,380.50

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Solution

The fourth proportional to 8,620.14, 12,930.29 and 2,380.50 is: 3,570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,620.14 : 12,930.29 = 2,380.50 : x
  2. Step 2: Convert to fraction form
    8,620.14/12,930.29 = 2,380.50/x
  3. Step 3: Cross multiply
    8,620.14x = 12,930.29 × 2,380.50
  4. Step 4: Simplify right side
    8,620.14x = 30,780,543.44
  5. Step 5: Solve for x
    x = 30,780,543.44/8,620.14
  6. Step 6: Final answer
    x = 3,570.77

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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.