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Finding the Fourth Proportional to 8,134.65, 12,203.82 and 2,940.51

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Solution

The fourth proportional to 8,134.65, 12,203.82 and 2,940.51 is: 4,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.65 : 12,203.82 = 2,940.51 : x
  2. Step 2: Convert to fraction form
    8,134.65/12,203.82 = 2,940.51/x
  3. Step 3: Cross multiply
    8,134.65x = 12,203.82 × 2,940.51
  4. Step 4: Simplify right side
    8,134.65x = 35,885,454.75
  5. Step 5: Solve for x
    x = 35,885,454.75/8,134.65
  6. Step 6: Final answer
    x = 4,411.43

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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.