Home / 3,214.83-4,822.19-1,023.53

Finding the Fourth Proportional to 3,214.83, 4,822.19 and 1,023.53

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Solution

The fourth proportional to 3,214.83, 4,822.19 and 1,023.53 is: 1,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.83 : 4,822.19 = 1,023.53 : x
  2. Step 2: Convert to fraction form
    3,214.83/4,822.19 = 1,023.53/x
  3. Step 3: Cross multiply
    3,214.83x = 4,822.19 × 1,023.53
  4. Step 4: Simplify right side
    3,214.83x = 4,935,632.02
  5. Step 5: Solve for x
    x = 4,935,632.02/3,214.83
  6. Step 6: Final answer
    x = 1,535.27

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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.