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Finding the Fourth Proportional to 2,007.62, 3,009.92 and 620.15

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Solution

The fourth proportional to 2,007.62, 3,009.92 and 620.15 is: 929.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.62 : 3,009.92 = 620.15 : x
  2. Step 2: Convert to fraction form
    2,007.62/3,009.92 = 620.15/x
  3. Step 3: Cross multiply
    2,007.62x = 3,009.92 × 620.15
  4. Step 4: Simplify right side
    2,007.62x = 1,866,586.06
  5. Step 5: Solve for x
    x = 1,866,586.06/2,007.62
  6. Step 6: Final answer
    x = 929.75

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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.