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Finding the Fourth Proportional to 14,145, 21,227.24 and 4,911

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Solution

The fourth proportional to 14,145, 21,227.24 and 4,911 is: 7,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145 : 21,227.24 = 4,911 : x
  2. Step 2: Convert to fraction form
    14,145/21,227.24 = 4,911/x
  3. Step 3: Cross multiply
    14,145x = 21,227.24 × 4,911
  4. Step 4: Simplify right side
    14,145x = 104,246,975.64
  5. Step 5: Solve for x
    x = 104,246,975.64/14,145
  6. Step 6: Final answer
    x = 7,369.88

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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.