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Finding the Fourth Proportional to 12,636.14, 18,914.76 and 9,308.14

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Solution

The fourth proportional to 12,636.14, 18,914.76 and 9,308.14 is: 13,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636.14 : 18,914.76 = 9,308.14 : x
  2. Step 2: Convert to fraction form
    12,636.14/18,914.76 = 9,308.14/x
  3. Step 3: Cross multiply
    12,636.14x = 18,914.76 × 9,308.14
  4. Step 4: Simplify right side
    12,636.14x = 176,061,139.57
  5. Step 5: Solve for x
    x = 176,061,139.57/12,636.14
  6. Step 6: Final answer
    x = 13,933.15

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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.