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Finding the Fourth Proportional to 16,628, 22,946.64 and 9,176

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Solution

The fourth proportional to 16,628, 22,946.64 and 9,176 is: 12,662.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,628 : 22,946.64 = 9,176 : x
  2. Step 2: Convert to fraction form
    16,628/22,946.64 = 9,176/x
  3. Step 3: Cross multiply
    16,628x = 22,946.64 × 9,176
  4. Step 4: Simplify right side
    16,628x = 210,558,368.64
  5. Step 5: Solve for x
    x = 210,558,368.64/16,628
  6. Step 6: Final answer
    x = 12,662.88

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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.