Home / 3,215-4,822.48-2,569.82

Finding the Fourth Proportional to 3,215, 4,822.48 and 2,569.82

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Solution

The fourth proportional to 3,215, 4,822.48 and 2,569.82 is: 3,854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215 : 4,822.48 = 2,569.82 : x
  2. Step 2: Convert to fraction form
    3,215/4,822.48 = 2,569.82/x
  3. Step 3: Cross multiply
    3,215x = 4,822.48 × 2,569.82
  4. Step 4: Simplify right side
    3,215x = 12,392,905.55
  5. Step 5: Solve for x
    x = 12,392,905.55/3,215
  6. Step 6: Final answer
    x = 3,854.71

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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.