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Finding the Fourth Proportional to 8,090.94, 12,141.90 and 3,160.56

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Solution

The fourth proportional to 8,090.94, 12,141.90 and 3,160.56 is: 4,742.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090.94 : 12,141.90 = 3,160.56 : x
  2. Step 2: Convert to fraction form
    8,090.94/12,141.90 = 3,160.56/x
  3. Step 3: Cross multiply
    8,090.94x = 12,141.90 × 3,160.56
  4. Step 4: Simplify right side
    8,090.94x = 38,375,203.46
  5. Step 5: Solve for x
    x = 38,375,203.46/8,090.94
  6. Step 6: Final answer
    x = 4,742.98

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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.