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Finding the Fourth Proportional to 12,939.86, 19,409.80 and 5,539.53

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Solution

The fourth proportional to 12,939.86, 19,409.80 and 5,539.53 is: 8,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,939.86 : 19,409.80 = 5,539.53 : x
  2. Step 2: Convert to fraction form
    12,939.86/19,409.80 = 5,539.53/x
  3. Step 3: Cross multiply
    12,939.86x = 19,409.80 × 5,539.53
  4. Step 4: Simplify right side
    12,939.86x = 107,521,169.39
  5. Step 5: Solve for x
    x = 107,521,169.39/12,939.86
  6. Step 6: Final answer
    x = 8,309.30

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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.