Home / 2,046.20-3,071.98-1,214.78

Finding the Fourth Proportional to 2,046.20, 3,071.98 and 1,214.78

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Solution

The fourth proportional to 2,046.20, 3,071.98 and 1,214.78 is: 1,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.20 : 3,071.98 = 1,214.78 : x
  2. Step 2: Convert to fraction form
    2,046.20/3,071.98 = 1,214.78/x
  3. Step 3: Cross multiply
    2,046.20x = 3,071.98 × 1,214.78
  4. Step 4: Simplify right side
    2,046.20x = 3,731,779.86
  5. Step 5: Solve for x
    x = 3,731,779.86/2,046.20
  6. Step 6: Final answer
    x = 1,823.76

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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.