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Finding the Fourth Proportional to 19,978.70, 29,939.48 and 14,672.09

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Solution

The fourth proportional to 19,978.70, 29,939.48 and 14,672.09 is: 21,987.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.70 : 29,939.48 = 14,672.09 : x
  2. Step 2: Convert to fraction form
    19,978.70/29,939.48 = 14,672.09/x
  3. Step 3: Cross multiply
    19,978.70x = 29,939.48 × 14,672.09
  4. Step 4: Simplify right side
    19,978.70x = 439,274,522.06
  5. Step 5: Solve for x
    x = 439,274,522.06/19,978.70
  6. Step 6: Final answer
    x = 21,987.15

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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.