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Finding the Fourth Proportional to 3,189.78, 4,783.10 and 1,213.89

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Solution

The fourth proportional to 3,189.78, 4,783.10 and 1,213.89 is: 1,820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.78 : 4,783.10 = 1,213.89 : x
  2. Step 2: Convert to fraction form
    3,189.78/4,783.10 = 1,213.89/x
  3. Step 3: Cross multiply
    3,189.78x = 4,783.10 × 1,213.89
  4. Step 4: Simplify right side
    3,189.78x = 5,806,140.08
  5. Step 5: Solve for x
    x = 5,806,140.08/3,189.78
  6. Step 6: Final answer
    x = 1,820.23

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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.