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Finding the Fourth Proportional to 8,179.65, 12,270.29 and 2,984.31

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Solution

The fourth proportional to 8,179.65, 12,270.29 and 2,984.31 is: 4,476.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.65 : 12,270.29 = 2,984.31 : x
  2. Step 2: Convert to fraction form
    8,179.65/12,270.29 = 2,984.31/x
  3. Step 3: Cross multiply
    8,179.65x = 12,270.29 × 2,984.31
  4. Step 4: Simplify right side
    8,179.65x = 36,618,334.23
  5. Step 5: Solve for x
    x = 36,618,334.23/8,179.65
  6. Step 6: Final answer
    x = 4,476.76

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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.