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Finding the Fourth Proportional to 1,578.50, 2,178.34 and 879.86

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Solution

The fourth proportional to 1,578.50, 2,178.34 and 879.86 is: 1,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.50 : 2,178.34 = 879.86 : x
  2. Step 2: Convert to fraction form
    1,578.50/2,178.34 = 879.86/x
  3. Step 3: Cross multiply
    1,578.50x = 2,178.34 × 879.86
  4. Step 4: Simplify right side
    1,578.50x = 1,916,634.23
  5. Step 5: Solve for x
    x = 1,916,634.23/1,578.50
  6. Step 6: Final answer
    x = 1,214.21

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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.