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Finding the Fourth Proportional to 35,514, 49,015.80 and 20,610

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Solution

The fourth proportional to 35,514, 49,015.80 and 20,610 is: 28,445.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,514 : 49,015.80 = 20,610 : x
  2. Step 2: Convert to fraction form
    35,514/49,015.80 = 20,610/x
  3. Step 3: Cross multiply
    35,514x = 49,015.80 × 20,610
  4. Step 4: Simplify right side
    35,514x = 1,010,215,638.00
  5. Step 5: Solve for x
    x = 1,010,215,638.00/35,514
  6. Step 6: Final answer
    x = 28,445.56

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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.