Home / 2,022-3,038.40-2,011.20

Finding the Fourth Proportional to 2,022, 3,038.40 and 2,011.20

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Solution

The fourth proportional to 2,022, 3,038.40 and 2,011.20 is: 3,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022 : 3,038.40 = 2,011.20 : x
  2. Step 2: Convert to fraction form
    2,022/3,038.40 = 2,011.20/x
  3. Step 3: Cross multiply
    2,022x = 3,038.40 × 2,011.20
  4. Step 4: Simplify right side
    2,022x = 6,110,830.08
  5. Step 5: Solve for x
    x = 6,110,830.08/2,022
  6. Step 6: Final answer
    x = 3,022.17

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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.