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Finding the Fourth Proportional to 16,518, 22,794.64 and 8,964.16

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Solution

The fourth proportional to 16,518, 22,794.64 and 8,964.16 is: 12,370.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,518 : 22,794.64 = 8,964.16 : x
  2. Step 2: Convert to fraction form
    16,518/22,794.64 = 8,964.16/x
  3. Step 3: Cross multiply
    16,518x = 22,794.64 × 8,964.16
  4. Step 4: Simplify right side
    16,518x = 204,334,800.10
  5. Step 5: Solve for x
    x = 204,334,800.10/16,518
  6. Step 6: Final answer
    x = 12,370.43

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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.