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Finding the Fourth Proportional to 2,008.09, 3,011.19 and 776.08

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Solution

The fourth proportional to 2,008.09, 3,011.19 and 776.08 is: 1,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.09 : 3,011.19 = 776.08 : x
  2. Step 2: Convert to fraction form
    2,008.09/3,011.19 = 776.08/x
  3. Step 3: Cross multiply
    2,008.09x = 3,011.19 × 776.08
  4. Step 4: Simplify right side
    2,008.09x = 2,336,924.34
  5. Step 5: Solve for x
    x = 2,336,924.34/2,008.09
  6. Step 6: Final answer
    x = 1,163.75

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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.