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Finding the Fourth Proportional to 35,649, 49,208.60 and 20,745

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Solution

The fourth proportional to 35,649, 49,208.60 and 20,745 is: 28,635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,649 : 49,208.60 = 20,745 : x
  2. Step 2: Convert to fraction form
    35,649/49,208.60 = 20,745/x
  3. Step 3: Cross multiply
    35,649x = 49,208.60 × 20,745
  4. Step 4: Simplify right side
    35,649x = 1,020,832,407
  5. Step 5: Solve for x
    x = 1,020,832,407/35,649
  6. Step 6: Final answer
    x = 28,635.65

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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.