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Finding the Fourth Proportional to 2,042.20, 3,040.20 and 2,030.05

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Solution

The fourth proportional to 2,042.20, 3,040.20 and 2,030.05 is: 3,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.20 : 3,040.20 = 2,030.05 : x
  2. Step 2: Convert to fraction form
    2,042.20/3,040.20 = 2,030.05/x
  3. Step 3: Cross multiply
    2,042.20x = 3,040.20 × 2,030.05
  4. Step 4: Simplify right side
    2,042.20x = 6,171,758.01
  5. Step 5: Solve for x
    x = 6,171,758.01/2,042.20
  6. Step 6: Final answer
    x = 3,022.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.