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Finding the Fourth Proportional to 2,178.77, 3,269.57 and 879.93

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Solution

The fourth proportional to 2,178.77, 3,269.57 and 879.93 is: 1,320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.77 : 3,269.57 = 879.93 : x
  2. Step 2: Convert to fraction form
    2,178.77/3,269.57 = 879.93/x
  3. Step 3: Cross multiply
    2,178.77x = 3,269.57 × 879.93
  4. Step 4: Simplify right side
    2,178.77x = 2,876,988.33
  5. Step 5: Solve for x
    x = 2,876,988.33/2,178.77
  6. Step 6: Final answer
    x = 1,320.47

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1.5x scale

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.