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Finding the Fourth Proportional to 3,471.37, 5,207.07 and 1,419.37

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Solution

The fourth proportional to 3,471.37, 5,207.07 and 1,419.37 is: 2,129.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.37 : 5,207.07 = 1,419.37 : x
  2. Step 2: Convert to fraction form
    3,471.37/5,207.07 = 1,419.37/x
  3. Step 3: Cross multiply
    3,471.37x = 5,207.07 × 1,419.37
  4. Step 4: Simplify right side
    3,471.37x = 7,390,729.36
  5. Step 5: Solve for x
    x = 7,390,729.36/3,471.37
  6. Step 6: Final answer
    x = 2,129.06

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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.