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Finding the Fourth Proportional to 2,179.76, 3,006.64 and 1,394.80

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Solution

The fourth proportional to 2,179.76, 3,006.64 and 1,394.80 is: 1,923.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.76 : 3,006.64 = 1,394.80 : x
  2. Step 2: Convert to fraction form
    2,179.76/3,006.64 = 1,394.80/x
  3. Step 3: Cross multiply
    2,179.76x = 3,006.64 × 1,394.80
  4. Step 4: Simplify right side
    2,179.76x = 4,193,661.47
  5. Step 5: Solve for x
    x = 4,193,661.47/2,179.76
  6. Step 6: Final answer
    x = 1,923.91

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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.