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Finding the Fourth Proportional to 11,397.58, 15,733.47 and 6,922.78

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Solution

The fourth proportional to 11,397.58, 15,733.47 and 6,922.78 is: 9,556.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.58 : 15,733.47 = 6,922.78 : x
  2. Step 2: Convert to fraction form
    11,397.58/15,733.47 = 6,922.78/x
  3. Step 3: Cross multiply
    11,397.58x = 15,733.47 × 6,922.78
  4. Step 4: Simplify right side
    11,397.58x = 108,919,351.45
  5. Step 5: Solve for x
    x = 108,919,351.45/11,397.58
  6. Step 6: Final answer
    x = 9,556.36

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