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Finding the Fourth Proportional to 2,019.32, 3,028.98 and 558.58

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Solution

The fourth proportional to 2,019.32, 3,028.98 and 558.58 is: 837.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.32 : 3,028.98 = 558.58 : x
  2. Step 2: Convert to fraction form
    2,019.32/3,028.98 = 558.58/x
  3. Step 3: Cross multiply
    2,019.32x = 3,028.98 × 558.58
  4. Step 4: Simplify right side
    2,019.32x = 1,691,927.65
  5. Step 5: Solve for x
    x = 1,691,927.65/2,019.32
  6. Step 6: Final answer
    x = 837.87

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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.