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Finding the Fourth Proportional to 3,291.47, 4,937.22 and 982.97

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Solution

The fourth proportional to 3,291.47, 4,937.22 and 982.97 is: 1,474.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.47 : 4,937.22 = 982.97 : x
  2. Step 2: Convert to fraction form
    3,291.47/4,937.22 = 982.97/x
  3. Step 3: Cross multiply
    3,291.47x = 4,937.22 × 982.97
  4. Step 4: Simplify right side
    3,291.47x = 4,853,132.97
  5. Step 5: Solve for x
    x = 4,853,132.97/3,291.47
  6. Step 6: Final answer
    x = 1,474.46

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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.