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Finding the Fourth Proportional to 2,017.85, 3,026.30 and 719.33

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Solution

The fourth proportional to 2,017.85, 3,026.30 and 719.33 is: 1,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.85 : 3,026.30 = 719.33 : x
  2. Step 2: Convert to fraction form
    2,017.85/3,026.30 = 719.33/x
  3. Step 3: Cross multiply
    2,017.85x = 3,026.30 × 719.33
  4. Step 4: Simplify right side
    2,017.85x = 2,176,889.65
  5. Step 5: Solve for x
    x = 2,176,889.65/2,017.85
  6. Step 6: Final answer
    x = 1,078.82

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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.