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Finding the Fourth Proportional to 13,889.50, 20,808.06 and 6,861.28

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Solution

The fourth proportional to 13,889.50, 20,808.06 and 6,861.28 is: 10,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,889.50 : 20,808.06 = 6,861.28 : x
  2. Step 2: Convert to fraction form
    13,889.50/20,808.06 = 6,861.28/x
  3. Step 3: Cross multiply
    13,889.50x = 20,808.06 × 6,861.28
  4. Step 4: Simplify right side
    13,889.50x = 142,769,925.92
  5. Step 5: Solve for x
    x = 142,769,925.92/13,889.50
  6. Step 6: Final answer
    x = 10,278.98

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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.