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Finding the Fourth Proportional to 1,351.95, 1,866.09 and 792.54

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Solution

The fourth proportional to 1,351.95, 1,866.09 and 792.54 is: 1,093.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.95 : 1,866.09 = 792.54 : x
  2. Step 2: Convert to fraction form
    1,351.95/1,866.09 = 792.54/x
  3. Step 3: Cross multiply
    1,351.95x = 1,866.09 × 792.54
  4. Step 4: Simplify right side
    1,351.95x = 1,478,950.97
  5. Step 5: Solve for x
    x = 1,478,950.97/1,351.95
  6. Step 6: Final answer
    x = 1,093.94

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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.