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Finding the Fourth Proportional to 13,789.18, 20,665.14 and 9,884.98

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Solution

The fourth proportional to 13,789.18, 20,665.14 and 9,884.98 is: 14,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789.18 : 20,665.14 = 9,884.98 : x
  2. Step 2: Convert to fraction form
    13,789.18/20,665.14 = 9,884.98/x
  3. Step 3: Cross multiply
    13,789.18x = 20,665.14 × 9,884.98
  4. Step 4: Simplify right side
    13,789.18x = 204,274,495.60
  5. Step 5: Solve for x
    x = 204,274,495.60/13,789.18
  6. Step 6: Final answer
    x = 14,814.11

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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.