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Finding the Fourth Proportional to 34,561.92, 51,842.79 and 13,800

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Solution

The fourth proportional to 34,561.92, 51,842.79 and 13,800 is: 20,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,561.92 : 51,842.79 = 13,800 : x
  2. Step 2: Convert to fraction form
    34,561.92/51,842.79 = 13,800/x
  3. Step 3: Cross multiply
    34,561.92x = 51,842.79 × 13,800
  4. Step 4: Simplify right side
    34,561.92x = 715,430,502
  5. Step 5: Solve for x
    x = 715,430,502/34,561.92
  6. Step 6: Final answer
    x = 20,699.96

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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.