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Finding the Fourth Proportional to 3,984.78, 5,975.01 and 1,210.62

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Solution

The fourth proportional to 3,984.78, 5,975.01 and 1,210.62 is: 1,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.78 : 5,975.01 = 1,210.62 : x
  2. Step 2: Convert to fraction form
    3,984.78/5,975.01 = 1,210.62/x
  3. Step 3: Cross multiply
    3,984.78x = 5,975.01 × 1,210.62
  4. Step 4: Simplify right side
    3,984.78x = 7,233,466.61
  5. Step 5: Solve for x
    x = 7,233,466.61/3,984.78
  6. Step 6: Final answer
    x = 1,815.27

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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.