Home / 3,214.56-4,821.84-1,023.96

Finding the Fourth Proportional to 3,214.56, 4,821.84 and 1,023.96

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Solution

The fourth proportional to 3,214.56, 4,821.84 and 1,023.96 is: 1,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.56 : 4,821.84 = 1,023.96 : x
  2. Step 2: Convert to fraction form
    3,214.56/4,821.84 = 1,023.96/x
  3. Step 3: Cross multiply
    3,214.56x = 4,821.84 × 1,023.96
  4. Step 4: Simplify right side
    3,214.56x = 4,937,371.29
  5. Step 5: Solve for x
    x = 4,937,371.29/3,214.56
  6. Step 6: Final answer
    x = 1,535.94

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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.