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Finding the Fourth Proportional to 3,939.63, 5,909.58 and 1,342.50

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Solution

The fourth proportional to 3,939.63, 5,909.58 and 1,342.50 is: 2,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.63 : 5,909.58 = 1,342.50 : x
  2. Step 2: Convert to fraction form
    3,939.63/5,909.58 = 1,342.50/x
  3. Step 3: Cross multiply
    3,939.63x = 5,909.58 × 1,342.50
  4. Step 4: Simplify right side
    3,939.63x = 7,933,611.15
  5. Step 5: Solve for x
    x = 7,933,611.15/3,939.63
  6. Step 6: Final answer
    x = 2,013.80

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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.