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Finding the Fourth Proportional to 3,529.89, 5,294.39 and 933.03

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Solution

The fourth proportional to 3,529.89, 5,294.39 and 933.03 is: 1,399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.89 : 5,294.39 = 933.03 : x
  2. Step 2: Convert to fraction form
    3,529.89/5,294.39 = 933.03/x
  3. Step 3: Cross multiply
    3,529.89x = 5,294.39 × 933.03
  4. Step 4: Simplify right side
    3,529.89x = 4,939,820.04
  5. Step 5: Solve for x
    x = 4,939,820.04/3,529.89
  6. Step 6: Final answer
    x = 1,399.43

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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.