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Finding the Fourth Proportional to 2,019.38, 3,029.04 and 632.71

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Solution

The fourth proportional to 2,019.38, 3,029.04 and 632.71 is: 949.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.38 : 3,029.04 = 632.71 : x
  2. Step 2: Convert to fraction form
    2,019.38/3,029.04 = 632.71/x
  3. Step 3: Cross multiply
    2,019.38x = 3,029.04 × 632.71
  4. Step 4: Simplify right side
    2,019.38x = 1,916,496.33
  5. Step 5: Solve for x
    x = 1,916,496.33/2,019.38
  6. Step 6: Final answer
    x = 949.05

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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.