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Finding the Fourth Proportional to 2,019, 3,025.26 and 1,043.88

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Solution

The fourth proportional to 2,019, 3,025.26 and 1,043.88 is: 1,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019 : 3,025.26 = 1,043.88 : x
  2. Step 2: Convert to fraction form
    2,019/3,025.26 = 1,043.88/x
  3. Step 3: Cross multiply
    2,019x = 3,025.26 × 1,043.88
  4. Step 4: Simplify right side
    2,019x = 3,158,008.41
  5. Step 5: Solve for x
    x = 3,158,008.41/2,019
  6. Step 6: Final answer
    x = 1,564.14

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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.