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Finding the Fourth Proportional to 22,620, 33,935.52 and 7,828.80

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Solution

The fourth proportional to 22,620, 33,935.52 and 7,828.80 is: 11,745.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,620 : 33,935.52 = 7,828.80 : x
  2. Step 2: Convert to fraction form
    22,620/33,935.52 = 7,828.80/x
  3. Step 3: Cross multiply
    22,620x = 33,935.52 × 7,828.80
  4. Step 4: Simplify right side
    22,620x = 265,674,398.98
  5. Step 5: Solve for x
    x = 265,674,398.98/22,620
  6. Step 6: Final answer
    x = 11,745.11

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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.