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Finding the Fourth Proportional to 3,489.01, 5,232 and 1,023.78

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Solution

The fourth proportional to 3,489.01, 5,232 and 1,023.78 is: 1,535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.01 : 5,232 = 1,023.78 : x
  2. Step 2: Convert to fraction form
    3,489.01/5,232 = 1,023.78/x
  3. Step 3: Cross multiply
    3,489.01x = 5,232 × 1,023.78
  4. Step 4: Simplify right side
    3,489.01x = 5,356,416.96
  5. Step 5: Solve for x
    x = 5,356,416.96/3,489.01
  6. Step 6: Final answer
    x = 1,535.23

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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.