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Finding the Fourth Proportional to 2,015.00, 3,023.15 and 905.38

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Solution

The fourth proportional to 2,015.00, 3,023.15 and 905.38 is: 1,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.00 : 3,023.15 = 905.38 : x
  2. Step 2: Convert to fraction form
    2,015.00/3,023.15 = 905.38/x
  3. Step 3: Cross multiply
    2,015.00x = 3,023.15 × 905.38
  4. Step 4: Simplify right side
    2,015.00x = 2,737,087.46
  5. Step 5: Solve for x
    x = 2,737,087.46/2,015.00
  6. Step 6: Final answer
    x = 1,358.35

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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.