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Finding the Fourth Proportional to 8,094, 12,141.66 and 3,415.32

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Solution

The fourth proportional to 8,094, 12,141.66 and 3,415.32 is: 5,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094 : 12,141.66 = 3,415.32 : x
  2. Step 2: Convert to fraction form
    8,094/12,141.66 = 3,415.32/x
  3. Step 3: Cross multiply
    8,094x = 12,141.66 × 3,415.32
  4. Step 4: Simplify right side
    8,094x = 41,467,654.23
  5. Step 5: Solve for x
    x = 41,467,654.23/8,094
  6. Step 6: Final answer
    x = 5,123.26

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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.