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Finding the Fourth Proportional to 11,438.58, 17,176.90 and 7,714.34

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Solution

The fourth proportional to 11,438.58, 17,176.90 and 7,714.34 is: 11,584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.58 : 17,176.90 = 7,714.34 : x
  2. Step 2: Convert to fraction form
    11,438.58/17,176.90 = 7,714.34/x
  3. Step 3: Cross multiply
    11,438.58x = 17,176.90 × 7,714.34
  4. Step 4: Simplify right side
    11,438.58x = 132,508,446.75
  5. Step 5: Solve for x
    x = 132,508,446.75/11,438.58
  6. Step 6: Final answer
    x = 11,584.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.