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Finding the Fourth Proportional to 8,620, 12,930.75 and 2,380.02

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Solution

The fourth proportional to 8,620, 12,930.75 and 2,380.02 is: 3,570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,620 : 12,930.75 = 2,380.02 : x
  2. Step 2: Convert to fraction form
    8,620/12,930.75 = 2,380.02/x
  3. Step 3: Cross multiply
    8,620x = 12,930.75 × 2,380.02
  4. Step 4: Simplify right side
    8,620x = 30,775,443.62
  5. Step 5: Solve for x
    x = 30,775,443.62/8,620
  6. Step 6: Final answer
    x = 3,570.24

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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.