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Finding the Fourth Proportional to 16,398, 22,629.60 and 8,946

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Solution

The fourth proportional to 16,398, 22,629.60 and 8,946 is: 12,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,398 : 22,629.60 = 8,946 : x
  2. Step 2: Convert to fraction form
    16,398/22,629.60 = 8,946/x
  3. Step 3: Cross multiply
    16,398x = 22,629.60 × 8,946
  4. Step 4: Simplify right side
    16,398x = 202,444,401.60
  5. Step 5: Solve for x
    x = 202,444,401.60/16,398
  6. Step 6: Final answer
    x = 12,345.68

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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.