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Finding the Fourth Proportional to 16,456, 22,709.28 and 9,004.16

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Solution

The fourth proportional to 16,456, 22,709.28 and 9,004.16 is: 12,425.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456 : 22,709.28 = 9,004.16 : x
  2. Step 2: Convert to fraction form
    16,456/22,709.28 = 9,004.16/x
  3. Step 3: Cross multiply
    16,456x = 22,709.28 × 9,004.16
  4. Step 4: Simplify right side
    16,456x = 204,477,990.60
  5. Step 5: Solve for x
    x = 204,477,990.60/16,456
  6. Step 6: Final answer
    x = 12,425.74

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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.