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Finding the Fourth Proportional to 3,489, 5,232.42 and 1,023.36

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Solution

The fourth proportional to 3,489, 5,232.42 and 1,023.36 is: 1,534.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489 : 5,232.42 = 1,023.36 : x
  2. Step 2: Convert to fraction form
    3,489/5,232.42 = 1,023.36/x
  3. Step 3: Cross multiply
    3,489x = 5,232.42 × 1,023.36
  4. Step 4: Simplify right side
    3,489x = 5,354,649.33
  5. Step 5: Solve for x
    x = 5,354,649.33/3,489
  6. Step 6: Final answer
    x = 1,534.72

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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.