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Finding the Fourth Proportional to 33,761.76, 50,644.80 and 12,985.26

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Solution

The fourth proportional to 33,761.76, 50,644.80 and 12,985.26 is: 19,478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,761.76 : 50,644.80 = 12,985.26 : x
  2. Step 2: Convert to fraction form
    33,761.76/50,644.80 = 12,985.26/x
  3. Step 3: Cross multiply
    33,761.76x = 50,644.80 × 12,985.26
  4. Step 4: Simplify right side
    33,761.76x = 657,635,895.65
  5. Step 5: Solve for x
    x = 657,635,895.65/33,761.76
  6. Step 6: Final answer
    x = 19,478.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.