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Finding the Fourth Proportional to 29,821.40, 41,110.09 and 20,841

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Solution

The fourth proportional to 29,821.40, 41,110.09 and 20,841 is: 28,730.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,821.40 : 41,110.09 = 20,841 : x
  2. Step 2: Convert to fraction form
    29,821.40/41,110.09 = 20,841/x
  3. Step 3: Cross multiply
    29,821.40x = 41,110.09 × 20,841
  4. Step 4: Simplify right side
    29,821.40x = 856,775,385.69
  5. Step 5: Solve for x
    x = 856,775,385.69/29,821.40
  6. Step 6: Final answer
    x = 28,730.22

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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.