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Finding the Fourth Proportional to 2,008.49, 3,012.73 and 776.48

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Solution

The fourth proportional to 2,008.49, 3,012.73 and 776.48 is: 1,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.49 : 3,012.73 = 776.48 : x
  2. Step 2: Convert to fraction form
    2,008.49/3,012.73 = 776.48/x
  3. Step 3: Cross multiply
    2,008.49x = 3,012.73 × 776.48
  4. Step 4: Simplify right side
    2,008.49x = 2,339,307.59
  5. Step 5: Solve for x
    x = 2,339,307.59/2,008.49
  6. Step 6: Final answer
    x = 1,164.71

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1.5x scale

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.