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Finding the Fourth Proportional to 16,668, 23,001.84 and 9,216

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Solution

The fourth proportional to 16,668, 23,001.84 and 9,216 is: 12,718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,668 : 23,001.84 = 9,216 : x
  2. Step 2: Convert to fraction form
    16,668/23,001.84 = 9,216/x
  3. Step 3: Cross multiply
    16,668x = 23,001.84 × 9,216
  4. Step 4: Simplify right side
    16,668x = 211,984,957.44
  5. Step 5: Solve for x
    x = 211,984,957.44/16,668
  6. Step 6: Final answer
    x = 12,718.08

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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.