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Finding the Fourth Proportional to 21,380.40, 31,997.70 and 21,380.40

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Solution

The fourth proportional to 21,380.40, 31,997.70 and 21,380.40 is: 31,997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,380.40 : 31,997.70 = 21,380.40 : x
  2. Step 2: Convert to fraction form
    21,380.40/31,997.70 = 21,380.40/x
  3. Step 3: Cross multiply
    21,380.40x = 31,997.70 × 21,380.40
  4. Step 4: Simplify right side
    21,380.40x = 684,123,625.08
  5. Step 5: Solve for x
    x = 684,123,625.08/21,380.40
  6. Step 6: Final answer
    x = 31,997.70

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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.