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Finding the Fourth Proportional to 29,847.70, 41,190.90 and 16,420

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Solution

The fourth proportional to 29,847.70, 41,190.90 and 16,420 is: 22,660.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,847.70 : 41,190.90 = 16,420 : x
  2. Step 2: Convert to fraction form
    29,847.70/41,190.90 = 16,420/x
  3. Step 3: Cross multiply
    29,847.70x = 41,190.90 × 16,420
  4. Step 4: Simplify right side
    29,847.70x = 676,354,578
  5. Step 5: Solve for x
    x = 676,354,578/29,847.70
  6. Step 6: Final answer
    x = 22,660.19

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1.5x scale

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.