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Finding the Fourth Proportional to 1,920.51, 2,882.19 and 1,428.06

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Solution

The fourth proportional to 1,920.51, 2,882.19 and 1,428.06 is: 2,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.51 : 2,882.19 = 1,428.06 : x
  2. Step 2: Convert to fraction form
    1,920.51/2,882.19 = 1,428.06/x
  3. Step 3: Cross multiply
    1,920.51x = 2,882.19 × 1,428.06
  4. Step 4: Simplify right side
    1,920.51x = 4,115,940.25
  5. Step 5: Solve for x
    x = 4,115,940.25/1,920.51
  6. Step 6: Final answer
    x = 2,143.15

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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.