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Finding the Fourth Proportional to 2,009.03, 3,013.86 and 622.04

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Solution

The fourth proportional to 2,009.03, 3,013.86 and 622.04 is: 933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.03 : 3,013.86 = 622.04 : x
  2. Step 2: Convert to fraction form
    2,009.03/3,013.86 = 622.04/x
  3. Step 3: Cross multiply
    2,009.03x = 3,013.86 × 622.04
  4. Step 4: Simplify right side
    2,009.03x = 1,874,728.74
  5. Step 5: Solve for x
    x = 1,874,728.74/2,009.03
  6. Step 6: Final answer
    x = 933.15

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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.