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Finding the Fourth Proportional to 8,374.30, 11,552.83 and 5,186.75

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Solution

The fourth proportional to 8,374.30, 11,552.83 and 5,186.75 is: 7,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.30 : 11,552.83 = 5,186.75 : x
  2. Step 2: Convert to fraction form
    8,374.30/11,552.83 = 5,186.75/x
  3. Step 3: Cross multiply
    8,374.30x = 11,552.83 × 5,186.75
  4. Step 4: Simplify right side
    8,374.30x = 59,921,570.27
  5. Step 5: Solve for x
    x = 59,921,570.27/8,374.30
  6. Step 6: Final answer
    x = 7,155.41

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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.