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Finding the Fourth Proportional to 2,009.65, 3,013.39 and 622.39

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Solution

The fourth proportional to 2,009.65, 3,013.39 and 622.39 is: 933.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.65 : 3,013.39 = 622.39 : x
  2. Step 2: Convert to fraction form
    2,009.65/3,013.39 = 622.39/x
  3. Step 3: Cross multiply
    2,009.65x = 3,013.39 × 622.39
  4. Step 4: Simplify right side
    2,009.65x = 1,875,503.80
  5. Step 5: Solve for x
    x = 1,875,503.80/2,009.65
  6. Step 6: Final answer
    x = 933.25

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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.