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Finding the Fourth Proportional to 35,321.74, 48,744.22 and 19,405.78

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Solution

The fourth proportional to 35,321.74, 48,744.22 and 19,405.78 is: 26,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,321.74 : 48,744.22 = 19,405.78 : x
  2. Step 2: Convert to fraction form
    35,321.74/48,744.22 = 19,405.78/x
  3. Step 3: Cross multiply
    35,321.74x = 48,744.22 × 19,405.78
  4. Step 4: Simplify right side
    35,321.74x = 945,919,609.59
  5. Step 5: Solve for x
    x = 945,919,609.59/35,321.74
  6. Step 6: Final answer
    x = 26,780.10

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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.