Home / 3,214.57-4,822.01-1,023.47

Finding the Fourth Proportional to 3,214.57, 4,822.01 and 1,023.47

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Solution

The fourth proportional to 3,214.57, 4,822.01 and 1,023.47 is: 1,535.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.57 : 4,822.01 = 1,023.47 : x
  2. Step 2: Convert to fraction form
    3,214.57/4,822.01 = 1,023.47/x
  3. Step 3: Cross multiply
    3,214.57x = 4,822.01 × 1,023.47
  4. Step 4: Simplify right side
    3,214.57x = 4,935,168.69
  5. Step 5: Solve for x
    x = 4,935,168.69/3,214.57
  6. Step 6: Final answer
    x = 1,535.25

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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.