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Finding the Fourth Proportional to 1,900.65, 2,851.82 and 1,022.14

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Solution

The fourth proportional to 1,900.65, 2,851.82 and 1,022.14 is: 1,533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.65 : 2,851.82 = 1,022.14 : x
  2. Step 2: Convert to fraction form
    1,900.65/2,851.82 = 1,022.14/x
  3. Step 3: Cross multiply
    1,900.65x = 2,851.82 × 1,022.14
  4. Step 4: Simplify right side
    1,900.65x = 2,914,959.29
  5. Step 5: Solve for x
    x = 2,914,959.29/1,900.65
  6. Step 6: Final answer
    x = 1,533.66

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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.