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Finding the Fourth Proportional to 8,090, 12,134.19 and 5,903

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Solution

The fourth proportional to 8,090, 12,134.19 and 5,903 is: 8,853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090 : 12,134.19 = 5,903 : x
  2. Step 2: Convert to fraction form
    8,090/12,134.19 = 5,903/x
  3. Step 3: Cross multiply
    8,090x = 12,134.19 × 5,903
  4. Step 4: Simplify right side
    8,090x = 71,628,123.57
  5. Step 5: Solve for x
    x = 71,628,123.57/8,090
  6. Step 6: Final answer
    x = 8,853.91

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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.