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Finding the Fourth Proportional to 20,594.98, 30,871.26 and 8,109.94

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Solution

The fourth proportional to 20,594.98, 30,871.26 and 8,109.94 is: 12,156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594.98 : 30,871.26 = 8,109.94 : x
  2. Step 2: Convert to fraction form
    20,594.98/30,871.26 = 8,109.94/x
  3. Step 3: Cross multiply
    20,594.98x = 30,871.26 × 8,109.94
  4. Step 4: Simplify right side
    20,594.98x = 250,364,066.32
  5. Step 5: Solve for x
    x = 250,364,066.32/20,594.98
  6. Step 6: Final answer
    x = 12,156.56

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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.