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Finding the Fourth Proportional to 2,022.84, 3,031.56 and 981.54

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Solution

The fourth proportional to 2,022.84, 3,031.56 and 981.54 is: 1,471.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.84 : 3,031.56 = 981.54 : x
  2. Step 2: Convert to fraction form
    2,022.84/3,031.56 = 981.54/x
  3. Step 3: Cross multiply
    2,022.84x = 3,031.56 × 981.54
  4. Step 4: Simplify right side
    2,022.84x = 2,975,597.40
  5. Step 5: Solve for x
    x = 2,975,597.40/2,022.84
  6. Step 6: Final answer
    x = 1,471.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.