Home / 2,021.28-3,027.87-924.14

Finding the Fourth Proportional to 2,021.28, 3,027.87 and 924.14

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Solution

The fourth proportional to 2,021.28, 3,027.87 and 924.14 is: 1,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.28 : 3,027.87 = 924.14 : x
  2. Step 2: Convert to fraction form
    2,021.28/3,027.87 = 924.14/x
  3. Step 3: Cross multiply
    2,021.28x = 3,027.87 × 924.14
  4. Step 4: Simplify right side
    2,021.28x = 2,798,160.64
  5. Step 5: Solve for x
    x = 2,798,160.64/2,021.28
  6. Step 6: Final answer
    x = 1,384.35

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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.