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Finding the Fourth Proportional to 20,774.80, 31,089.30 and 14,213.80

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Solution

The fourth proportional to 20,774.80, 31,089.30 and 14,213.80 is: 21,270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,774.80 : 31,089.30 = 14,213.80 : x
  2. Step 2: Convert to fraction form
    20,774.80/31,089.30 = 14,213.80/x
  3. Step 3: Cross multiply
    20,774.80x = 31,089.30 × 14,213.80
  4. Step 4: Simplify right side
    20,774.80x = 441,897,092.34
  5. Step 5: Solve for x
    x = 441,897,092.34/20,774.80
  6. Step 6: Final answer
    x = 21,270.82

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1.5x scale

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.