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Finding the Fourth Proportional to 13,295, 18,349.56 and 7,706

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Solution

The fourth proportional to 13,295, 18,349.56 and 7,706 is: 10,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,295 : 18,349.56 = 7,706 : x
  2. Step 2: Convert to fraction form
    13,295/18,349.56 = 7,706/x
  3. Step 3: Cross multiply
    13,295x = 18,349.56 × 7,706
  4. Step 4: Simplify right side
    13,295x = 141,401,709.36
  5. Step 5: Solve for x
    x = 141,401,709.36/13,295
  6. Step 6: Final answer
    x = 10,635.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.