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Finding the Fourth Proportional to 13,871.75, 20,812.87 and 8,328.96

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Solution

The fourth proportional to 13,871.75, 20,812.87 and 8,328.96 is: 12,496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.75 : 20,812.87 = 8,328.96 : x
  2. Step 2: Convert to fraction form
    13,871.75/20,812.87 = 8,328.96/x
  3. Step 3: Cross multiply
    13,871.75x = 20,812.87 × 8,328.96
  4. Step 4: Simplify right side
    13,871.75x = 173,349,561.72
  5. Step 5: Solve for x
    x = 173,349,561.72/13,871.75
  6. Step 6: Final answer
    x = 12,496.59

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1.5x scale

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.