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Finding the Fourth Proportional to 7,797.42, 11,696.36 and 1,954.14

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Solution

The fourth proportional to 7,797.42, 11,696.36 and 1,954.14 is: 2,931.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.42 : 11,696.36 = 1,954.14 : x
  2. Step 2: Convert to fraction form
    7,797.42/11,696.36 = 1,954.14/x
  3. Step 3: Cross multiply
    7,797.42x = 11,696.36 × 1,954.14
  4. Step 4: Simplify right side
    7,797.42x = 22,856,315.16
  5. Step 5: Solve for x
    x = 22,856,315.16/7,797.42
  6. Step 6: Final answer
    x = 2,931.27

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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.