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Finding the Fourth Proportional to 29,760.86, 41,071.80 and 19,671.80

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Solution

The fourth proportional to 29,760.86, 41,071.80 and 19,671.80 is: 27,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,760.86 : 41,071.80 = 19,671.80 : x
  2. Step 2: Convert to fraction form
    29,760.86/41,071.80 = 19,671.80/x
  3. Step 3: Cross multiply
    29,760.86x = 41,071.80 × 19,671.80
  4. Step 4: Simplify right side
    29,760.86x = 807,956,029.88
  5. Step 5: Solve for x
    x = 807,956,029.88/29,760.86
  6. Step 6: Final answer
    x = 27,148.28

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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.