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Finding the Fourth Proportional to 2,988.56, 4,120.43 and 2,043

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Solution

The fourth proportional to 2,988.56, 4,120.43 and 2,043 is: 2,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.56 : 4,120.43 = 2,043 : x
  2. Step 2: Convert to fraction form
    2,988.56/4,120.43 = 2,043/x
  3. Step 3: Cross multiply
    2,988.56x = 4,120.43 × 2,043
  4. Step 4: Simplify right side
    2,988.56x = 8,418,028.28
  5. Step 5: Solve for x
    x = 8,418,028.28/2,988.56
  6. Step 6: Final answer
    x = 2,816.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.