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Finding the Fourth Proportional to 11,647.45, 17,458.61 and 5,717.43

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Solution

The fourth proportional to 11,647.45, 17,458.61 and 5,717.43 is: 8,569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.45 : 17,458.61 = 5,717.43 : x
  2. Step 2: Convert to fraction form
    11,647.45/17,458.61 = 5,717.43/x
  3. Step 3: Cross multiply
    11,647.45x = 17,458.61 × 5,717.43
  4. Step 4: Simplify right side
    11,647.45x = 99,818,394.87
  5. Step 5: Solve for x
    x = 99,818,394.87/11,647.45
  6. Step 6: Final answer
    x = 8,569.98

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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.