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Finding the Fourth Proportional to 3,062.34, 4,593.43 and 982.49

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Solution

The fourth proportional to 3,062.34, 4,593.43 and 982.49 is: 1,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.34 : 4,593.43 = 982.49 : x
  2. Step 2: Convert to fraction form
    3,062.34/4,593.43 = 982.49/x
  3. Step 3: Cross multiply
    3,062.34x = 4,593.43 × 982.49
  4. Step 4: Simplify right side
    3,062.34x = 4,512,973.62
  5. Step 5: Solve for x
    x = 4,512,973.62/3,062.34
  6. Step 6: Final answer
    x = 1,473.70

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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.