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Finding the Fourth Proportional to 2,775.81, 3,824.09 and 1,934.99

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Solution

The fourth proportional to 2,775.81, 3,824.09 and 1,934.99 is: 2,665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.81 : 3,824.09 = 1,934.99 : x
  2. Step 2: Convert to fraction form
    2,775.81/3,824.09 = 1,934.99/x
  3. Step 3: Cross multiply
    2,775.81x = 3,824.09 × 1,934.99
  4. Step 4: Simplify right side
    2,775.81x = 7,399,547.11
  5. Step 5: Solve for x
    x = 7,399,547.11/2,775.81
  6. Step 6: Final answer
    x = 2,665.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.