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Finding the Fourth Proportional to 16,365, 22,583.70 and 8,913

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Solution

The fourth proportional to 16,365, 22,583.70 and 8,913 is: 12,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,365 : 22,583.70 = 8,913 : x
  2. Step 2: Convert to fraction form
    16,365/22,583.70 = 8,913/x
  3. Step 3: Cross multiply
    16,365x = 22,583.70 × 8,913
  4. Step 4: Simplify right side
    16,365x = 201,288,518.10
  5. Step 5: Solve for x
    x = 201,288,518.10/16,365
  6. Step 6: Final answer
    x = 12,299.94

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Why These Related Problems?

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