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Finding the Fourth Proportional to 51,786.56, 77,687.52 and 18,952

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Solution

The fourth proportional to 51,786.56, 77,687.52 and 18,952 is: 28,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,786.56 : 77,687.52 = 18,952 : x
  2. Step 2: Convert to fraction form
    51,786.56/77,687.52 = 18,952/x
  3. Step 3: Cross multiply
    51,786.56x = 77,687.52 × 18,952
  4. Step 4: Simplify right side
    51,786.56x = 1,472,333,879.04
  5. Step 5: Solve for x
    x = 1,472,333,879.04/51,786.56
  6. Step 6: Final answer
    x = 28,430.81

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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.