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Finding the Fourth Proportional to 29,657.89, 40,942.70 and 17,080.21

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Solution

The fourth proportional to 29,657.89, 40,942.70 and 17,080.21 is: 23,579.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,657.89 : 40,942.70 = 17,080.21 : x
  2. Step 2: Convert to fraction form
    29,657.89/40,942.70 = 17,080.21/x
  3. Step 3: Cross multiply
    29,657.89x = 40,942.70 × 17,080.21
  4. Step 4: Simplify right side
    29,657.89x = 699,309,913.97
  5. Step 5: Solve for x
    x = 699,309,913.97/29,657.89
  6. Step 6: Final answer
    x = 23,579.22

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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.