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Finding the Fourth Proportional to 2,796.28, 4,194.42 and 971

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Solution

The fourth proportional to 2,796.28, 4,194.42 and 971 is: 1,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.28 : 4,194.42 = 971 : x
  2. Step 2: Convert to fraction form
    2,796.28/4,194.42 = 971/x
  3. Step 3: Cross multiply
    2,796.28x = 4,194.42 × 971
  4. Step 4: Simplify right side
    2,796.28x = 4,072,781.82
  5. Step 5: Solve for x
    x = 4,072,781.82/2,796.28
  6. Step 6: Final answer
    x = 1,456.50

Related Problems

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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.