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Finding the Fourth Proportional to 1,969.70, 2,956.17 and 1,396.22

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Solution

The fourth proportional to 1,969.70, 2,956.17 and 1,396.22 is: 2,095.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.70 : 2,956.17 = 1,396.22 : x
  2. Step 2: Convert to fraction form
    1,969.70/2,956.17 = 1,396.22/x
  3. Step 3: Cross multiply
    1,969.70x = 2,956.17 × 1,396.22
  4. Step 4: Simplify right side
    1,969.70x = 4,127,463.68
  5. Step 5: Solve for x
    x = 4,127,463.68/1,969.70
  6. Step 6: Final answer
    x = 2,095.48

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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.