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Finding the Fourth Proportional to 3,993.02, 5,989.54 and 1,528.09

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Solution

The fourth proportional to 3,993.02, 5,989.54 and 1,528.09 is: 2,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.02 : 5,989.54 = 1,528.09 : x
  2. Step 2: Convert to fraction form
    3,993.02/5,989.54 = 1,528.09/x
  3. Step 3: Cross multiply
    3,993.02x = 5,989.54 × 1,528.09
  4. Step 4: Simplify right side
    3,993.02x = 9,152,537.38
  5. Step 5: Solve for x
    x = 9,152,537.38/3,993.02
  6. Step 6: Final answer
    x = 2,292.13

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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.