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Finding the Fourth Proportional to 16,800, 23,184 and 9,348.48

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Solution

The fourth proportional to 16,800, 23,184 and 9,348.48 is: 12,900.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,800 : 23,184 = 9,348.48 : x
  2. Step 2: Convert to fraction form
    16,800/23,184 = 9,348.48/x
  3. Step 3: Cross multiply
    16,800x = 23,184 × 9,348.48
  4. Step 4: Simplify right side
    16,800x = 216,735,160.32
  5. Step 5: Solve for x
    x = 216,735,160.32/16,800
  6. Step 6: Final answer
    x = 12,900.90

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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.