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Finding the Fourth Proportional to 7,822.00, 11,724.80 and 3,658.50

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Solution

The fourth proportional to 7,822.00, 11,724.80 and 3,658.50 is: 5,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.00 : 11,724.80 = 3,658.50 : x
  2. Step 2: Convert to fraction form
    7,822.00/11,724.80 = 3,658.50/x
  3. Step 3: Cross multiply
    7,822.00x = 11,724.80 × 3,658.50
  4. Step 4: Simplify right side
    7,822.00x = 42,895,183.09
  5. Step 5: Solve for x
    x = 42,895,183.09/7,822.00
  6. Step 6: Final answer
    x = 5,483.91

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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.