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Finding the Fourth Proportional to 6,648.21, 9,974.41 and 1,968.21

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Solution

The fourth proportional to 6,648.21, 9,974.41 and 1,968.21 is: 2,952.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.21 : 9,974.41 = 1,968.21 : x
  2. Step 2: Convert to fraction form
    6,648.21/9,974.41 = 1,968.21/x
  3. Step 3: Cross multiply
    6,648.21x = 9,974.41 × 1,968.21
  4. Step 4: Simplify right side
    6,648.21x = 19,631,728.59
  5. Step 5: Solve for x
    x = 19,631,728.59/6,648.21
  6. Step 6: Final answer
    x = 2,952.93

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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.