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Finding the Fourth Proportional to 1,921.93, 2,882.99 and 1,823.51

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Solution

The fourth proportional to 1,921.93, 2,882.99 and 1,823.51 is: 2,735.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.93 : 2,882.99 = 1,823.51 : x
  2. Step 2: Convert to fraction form
    1,921.93/2,882.99 = 1,823.51/x
  3. Step 3: Cross multiply
    1,921.93x = 2,882.99 × 1,823.51
  4. Step 4: Simplify right side
    1,921.93x = 5,257,172.86
  5. Step 5: Solve for x
    x = 5,257,172.86/1,921.93
  6. Step 6: Final answer
    x = 2,735.36

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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.