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Finding the Fourth Proportional to 5,162.45, 7,745.16 and 1,874.66

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Solution

The fourth proportional to 5,162.45, 7,745.16 and 1,874.66 is: 2,812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.45 : 7,745.16 = 1,874.66 : x
  2. Step 2: Convert to fraction form
    5,162.45/7,745.16 = 1,874.66/x
  3. Step 3: Cross multiply
    5,162.45x = 7,745.16 × 1,874.66
  4. Step 4: Simplify right side
    5,162.45x = 14,519,541.65
  5. Step 5: Solve for x
    x = 14,519,541.65/5,162.45
  6. Step 6: Final answer
    x = 2,812.53

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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.