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Finding the Fourth Proportional to 1,578.11, 2,177.93 and 879.48

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Solution

The fourth proportional to 1,578.11, 2,177.93 and 879.48 is: 1,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.11 : 2,177.93 = 879.48 : x
  2. Step 2: Convert to fraction form
    1,578.11/2,177.93 = 879.48/x
  3. Step 3: Cross multiply
    1,578.11x = 2,177.93 × 879.48
  4. Step 4: Simplify right side
    1,578.11x = 1,915,448.08
  5. Step 5: Solve for x
    x = 1,915,448.08/1,578.11
  6. Step 6: Final answer
    x = 1,213.76

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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.