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Finding the Fourth Proportional to 13,854.48, 20,786.49 and 7,606.49

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Solution

The fourth proportional to 13,854.48, 20,786.49 and 7,606.49 is: 11,412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.48 : 20,786.49 = 7,606.49 : x
  2. Step 2: Convert to fraction form
    13,854.48/20,786.49 = 7,606.49/x
  3. Step 3: Cross multiply
    13,854.48x = 20,786.49 × 7,606.49
  4. Step 4: Simplify right side
    13,854.48x = 158,112,124.39
  5. Step 5: Solve for x
    x = 158,112,124.39/13,854.48
  6. Step 6: Final answer
    x = 11,412.35

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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.