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Finding the Fourth Proportional to 7,578.18, 11,374.38 and 4,662.18

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Solution

The fourth proportional to 7,578.18, 11,374.38 and 4,662.18 is: 6,997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.18 : 11,374.38 = 4,662.18 : x
  2. Step 2: Convert to fraction form
    7,578.18/11,374.38 = 4,662.18/x
  3. Step 3: Cross multiply
    7,578.18x = 11,374.38 × 4,662.18
  4. Step 4: Simplify right side
    7,578.18x = 53,029,406.95
  5. Step 5: Solve for x
    x = 53,029,406.95/7,578.18
  6. Step 6: Final answer
    x = 6,997.64

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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.