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Finding the Fourth Proportional to 2,021.50, 3,032.21 and 981.32

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Solution

The fourth proportional to 2,021.50, 3,032.21 and 981.32 is: 1,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.50 : 3,032.21 = 981.32 : x
  2. Step 2: Convert to fraction form
    2,021.50/3,032.21 = 981.32/x
  3. Step 3: Cross multiply
    2,021.50x = 3,032.21 × 981.32
  4. Step 4: Simplify right side
    2,021.50x = 2,975,578.35
  5. Step 5: Solve for x
    x = 2,975,578.35/2,021.50
  6. Step 6: Final answer
    x = 1,471.97

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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.