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Finding the Fourth Proportional to 14,558, 20,090.04 and 7,934

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Solution

The fourth proportional to 14,558, 20,090.04 and 7,934 is: 10,948.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,558 : 20,090.04 = 7,934 : x
  2. Step 2: Convert to fraction form
    14,558/20,090.04 = 7,934/x
  3. Step 3: Cross multiply
    14,558x = 20,090.04 × 7,934
  4. Step 4: Simplify right side
    14,558x = 159,394,377.36
  5. Step 5: Solve for x
    x = 159,394,377.36/14,558
  6. Step 6: Final answer
    x = 10,948.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.