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Finding the Fourth Proportional to 2,019.82, 3,028.04 and 632.28

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Solution

The fourth proportional to 2,019.82, 3,028.04 and 632.28 is: 947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.82 : 3,028.04 = 632.28 : x
  2. Step 2: Convert to fraction form
    2,019.82/3,028.04 = 632.28/x
  3. Step 3: Cross multiply
    2,019.82x = 3,028.04 × 632.28
  4. Step 4: Simplify right side
    2,019.82x = 1,914,569.13
  5. Step 5: Solve for x
    x = 1,914,569.13/2,019.82
  6. Step 6: Final answer
    x = 947.89

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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.