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Finding the Fourth Proportional to 34,020.12, 50,978.19 and 14,287.86

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Solution

The fourth proportional to 34,020.12, 50,978.19 and 14,287.86 is: 21,409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,020.12 : 50,978.19 = 14,287.86 : x
  2. Step 2: Convert to fraction form
    34,020.12/50,978.19 = 14,287.86/x
  3. Step 3: Cross multiply
    34,020.12x = 50,978.19 × 14,287.86
  4. Step 4: Simplify right side
    34,020.12x = 728,369,241.77
  5. Step 5: Solve for x
    x = 728,369,241.77/34,020.12
  6. Step 6: Final answer
    x = 21,409.96

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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.