Home / 7,729.84-11,579.64-3,822.40

Finding the Fourth Proportional to 7,729.84, 11,579.64 and 3,822.40

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Solution

The fourth proportional to 7,729.84, 11,579.64 and 3,822.40 is: 5,726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.84 : 11,579.64 = 3,822.40 : x
  2. Step 2: Convert to fraction form
    7,729.84/11,579.64 = 3,822.40/x
  3. Step 3: Cross multiply
    7,729.84x = 11,579.64 × 3,822.40
  4. Step 4: Simplify right side
    7,729.84x = 44,262,015.94
  5. Step 5: Solve for x
    x = 44,262,015.94/7,729.84
  6. Step 6: Final answer
    x = 5,726.12

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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.