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Finding the Fourth Proportional to 14,141, 21,221.24 and 4,907

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Solution

The fourth proportional to 14,141, 21,221.24 and 4,907 is: 7,363.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141 : 21,221.24 = 4,907 : x
  2. Step 2: Convert to fraction form
    14,141/21,221.24 = 4,907/x
  3. Step 3: Cross multiply
    14,141x = 21,221.24 × 4,907
  4. Step 4: Simplify right side
    14,141x = 104,132,624.68
  5. Step 5: Solve for x
    x = 104,132,624.68/14,141
  6. Step 6: Final answer
    x = 7,363.88

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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.