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Finding the Fourth Proportional to 14,143, 21,224.24 and 4,909

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Solution

The fourth proportional to 14,143, 21,224.24 and 4,909 is: 7,366.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143 : 21,224.24 = 4,909 : x
  2. Step 2: Convert to fraction form
    14,143/21,224.24 = 4,909/x
  3. Step 3: Cross multiply
    14,143x = 21,224.24 × 4,909
  4. Step 4: Simplify right side
    14,143x = 104,189,794.16
  5. Step 5: Solve for x
    x = 104,189,794.16/14,143
  6. Step 6: Final answer
    x = 7,366.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.