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Finding the Fourth Proportional to 7,874.88, 11,814.72 and 3,718.08

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Solution

The fourth proportional to 7,874.88, 11,814.72 and 3,718.08 is: 5,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.88 : 11,814.72 = 3,718.08 : x
  2. Step 2: Convert to fraction form
    7,874.88/11,814.72 = 3,718.08/x
  3. Step 3: Cross multiply
    7,874.88x = 11,814.72 × 3,718.08
  4. Step 4: Simplify right side
    7,874.88x = 43,928,074.14
  5. Step 5: Solve for x
    x = 43,928,074.14/7,874.88
  6. Step 6: Final answer
    x = 5,578.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.