Home / 1,920.78-2,881.59-1,141.48

Finding the Fourth Proportional to 1,920.78, 2,881.59 and 1,141.48

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Solution

The fourth proportional to 1,920.78, 2,881.59 and 1,141.48 is: 1,712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.78 : 2,881.59 = 1,141.48 : x
  2. Step 2: Convert to fraction form
    1,920.78/2,881.59 = 1,141.48/x
  3. Step 3: Cross multiply
    1,920.78x = 2,881.59 × 1,141.48
  4. Step 4: Simplify right side
    1,920.78x = 3,289,277.35
  5. Step 5: Solve for x
    x = 3,289,277.35/1,920.78
  6. Step 6: Final answer
    x = 1,712.47

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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.