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Finding the Fourth Proportional to 4,019.90, 6,031.90 and 1,828.34

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Solution

The fourth proportional to 4,019.90, 6,031.90 and 1,828.34 is: 2,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.90 : 6,031.90 = 1,828.34 : x
  2. Step 2: Convert to fraction form
    4,019.90/6,031.90 = 1,828.34/x
  3. Step 3: Cross multiply
    4,019.90x = 6,031.90 × 1,828.34
  4. Step 4: Simplify right side
    4,019.90x = 11,028,364.05
  5. Step 5: Solve for x
    x = 11,028,364.05/4,019.90
  6. Step 6: Final answer
    x = 2,743.44

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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.