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Finding the Fourth Proportional to 21,671.10, 29,910 and 14,023.80

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Solution

The fourth proportional to 21,671.10, 29,910 and 14,023.80 is: 19,355.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,671.10 : 29,910 = 14,023.80 : x
  2. Step 2: Convert to fraction form
    21,671.10/29,910 = 14,023.80/x
  3. Step 3: Cross multiply
    21,671.10x = 29,910 × 14,023.80
  4. Step 4: Simplify right side
    21,671.10x = 419,451,858
  5. Step 5: Solve for x
    x = 419,451,858/21,671.10
  6. Step 6: Final answer
    x = 19,355.36

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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.