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Finding the Fourth Proportional to 10,822.61, 14,930.83 and 8,300.27

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Solution

The fourth proportional to 10,822.61, 14,930.83 and 8,300.27 is: 11,451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.61 : 14,930.83 = 8,300.27 : x
  2. Step 2: Convert to fraction form
    10,822.61/14,930.83 = 8,300.27/x
  3. Step 3: Cross multiply
    10,822.61x = 14,930.83 × 8,300.27
  4. Step 4: Simplify right side
    10,822.61x = 123,929,968.03
  5. Step 5: Solve for x
    x = 123,929,968.03/10,822.61
  6. Step 6: Final answer
    x = 11,451.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.