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Finding the Fourth Proportional to 21,668.52, 29,883.84 and 14,112

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Solution

The fourth proportional to 21,668.52, 29,883.84 and 14,112 is: 19,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,668.52 : 29,883.84 = 14,112 : x
  2. Step 2: Convert to fraction form
    21,668.52/29,883.84 = 14,112/x
  3. Step 3: Cross multiply
    21,668.52x = 29,883.84 × 14,112
  4. Step 4: Simplify right side
    21,668.52x = 421,720,750.08
  5. Step 5: Solve for x
    x = 421,720,750.08/21,668.52
  6. Step 6: Final answer
    x = 19,462.37

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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.