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Finding the Fourth Proportional to 32,694.48, 49,015.80 and 12,978

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Solution

The fourth proportional to 32,694.48, 49,015.80 and 12,978 is: 19,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,694.48 : 49,015.80 = 12,978 : x
  2. Step 2: Convert to fraction form
    32,694.48/49,015.80 = 12,978/x
  3. Step 3: Cross multiply
    32,694.48x = 49,015.80 × 12,978
  4. Step 4: Simplify right side
    32,694.48x = 636,127,052.40
  5. Step 5: Solve for x
    x = 636,127,052.40/32,694.48
  6. Step 6: Final answer
    x = 19,456.71

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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.