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Finding the Fourth Proportional to 1,968.03, 2,953.87 and 994.82

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Solution

The fourth proportional to 1,968.03, 2,953.87 and 994.82 is: 1,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.03 : 2,953.87 = 994.82 : x
  2. Step 2: Convert to fraction form
    1,968.03/2,953.87 = 994.82/x
  3. Step 3: Cross multiply
    1,968.03x = 2,953.87 × 994.82
  4. Step 4: Simplify right side
    1,968.03x = 2,938,551.70
  5. Step 5: Solve for x
    x = 2,938,551.70/1,968.03
  6. Step 6: Final answer
    x = 1,493.14

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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.