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Finding the Fourth Proportional to 2,279.97, 3,419.97 and 1,970.91

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Solution

The fourth proportional to 2,279.97, 3,419.97 and 1,970.91 is: 2,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.97 : 3,419.97 = 1,970.91 : x
  2. Step 2: Convert to fraction form
    2,279.97/3,419.97 = 1,970.91/x
  3. Step 3: Cross multiply
    2,279.97x = 3,419.97 × 1,970.91
  4. Step 4: Simplify right side
    2,279.97x = 6,740,453.07
  5. Step 5: Solve for x
    x = 6,740,453.07/2,279.97
  6. Step 6: Final answer
    x = 2,956.38

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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.