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Finding the Fourth Proportional to 3,429, 5,144.49 and 1,969.20

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Solution

The fourth proportional to 3,429, 5,144.49 and 1,969.20 is: 2,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429 : 5,144.49 = 1,969.20 : x
  2. Step 2: Convert to fraction form
    3,429/5,144.49 = 1,969.20/x
  3. Step 3: Cross multiply
    3,429x = 5,144.49 × 1,969.20
  4. Step 4: Simplify right side
    3,429x = 10,130,529.71
  5. Step 5: Solve for x
    x = 10,130,529.71/3,429
  6. Step 6: Final answer
    x = 2,954.37

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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.