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Finding the Fourth Proportional to 35,645.76, 49,194.82 and 20,539

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Solution

The fourth proportional to 35,645.76, 49,194.82 and 20,539 is: 28,345.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,645.76 : 49,194.82 = 20,539 : x
  2. Step 2: Convert to fraction form
    35,645.76/49,194.82 = 20,539/x
  3. Step 3: Cross multiply
    35,645.76x = 49,194.82 × 20,539
  4. Step 4: Simplify right side
    35,645.76x = 1,010,412,407.98
  5. Step 5: Solve for x
    x = 1,010,412,407.98/35,645.76
  6. Step 6: Final answer
    x = 28,345.94

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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.