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Finding the Fourth Proportional to 13,676.81, 18,873.73 and 7,708.36

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Solution

The fourth proportional to 13,676.81, 18,873.73 and 7,708.36 is: 10,637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.81 : 18,873.73 = 7,708.36 : x
  2. Step 2: Convert to fraction form
    13,676.81/18,873.73 = 7,708.36/x
  3. Step 3: Cross multiply
    13,676.81x = 18,873.73 × 7,708.36
  4. Step 4: Simplify right side
    13,676.81x = 145,485,505.38
  5. Step 5: Solve for x
    x = 145,485,505.38/13,676.81
  6. Step 6: Final answer
    x = 10,637.39

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1.5x scale

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.