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Finding the Fourth Proportional to 14,174, 21,261 and 3,785.52

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Solution

The fourth proportional to 14,174, 21,261 and 3,785.52 is: 5,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,174 : 21,261 = 3,785.52 : x
  2. Step 2: Convert to fraction form
    14,174/21,261 = 3,785.52/x
  3. Step 3: Cross multiply
    14,174x = 21,261 × 3,785.52
  4. Step 4: Simplify right side
    14,174x = 80,483,940.72
  5. Step 5: Solve for x
    x = 80,483,940.72/14,174
  6. Step 6: Final answer
    x = 5,678.28

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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.