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Finding the Fourth Proportional to 14,833, 20,469.60 and 8,209

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Solution

The fourth proportional to 14,833, 20,469.60 and 8,209 is: 11,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833 : 20,469.60 = 8,209 : x
  2. Step 2: Convert to fraction form
    14,833/20,469.60 = 8,209/x
  3. Step 3: Cross multiply
    14,833x = 20,469.60 × 8,209
  4. Step 4: Simplify right side
    14,833x = 168,034,946.40
  5. Step 5: Solve for x
    x = 168,034,946.40/14,833
  6. Step 6: Final answer
    x = 11,328.45

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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.