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Finding the Fourth Proportional to 7,918.41, 11,880.89 and 3,473.78

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Solution

The fourth proportional to 7,918.41, 11,880.89 and 3,473.78 is: 5,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.41 : 11,880.89 = 3,473.78 : x
  2. Step 2: Convert to fraction form
    7,918.41/11,880.89 = 3,473.78/x
  3. Step 3: Cross multiply
    7,918.41x = 11,880.89 × 3,473.78
  4. Step 4: Simplify right side
    7,918.41x = 41,271,598.06
  5. Step 5: Solve for x
    x = 41,271,598.06/7,918.41
  6. Step 6: Final answer
    x = 5,212.11

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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.