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Finding the Fourth Proportional to 3,219.90, 4,830.21 and 1,027.86

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Solution

The fourth proportional to 3,219.90, 4,830.21 and 1,027.86 is: 1,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.90 : 4,830.21 = 1,027.86 : x
  2. Step 2: Convert to fraction form
    3,219.90/4,830.21 = 1,027.86/x
  3. Step 3: Cross multiply
    3,219.90x = 4,830.21 × 1,027.86
  4. Step 4: Simplify right side
    3,219.90x = 4,964,779.65
  5. Step 5: Solve for x
    x = 4,964,779.65/3,219.90
  6. Step 6: Final answer
    x = 1,541.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.