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Finding the Fourth Proportional to 13,676.62, 18,873.20 and 7,709.50

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Solution

The fourth proportional to 13,676.62, 18,873.20 and 7,709.50 is: 10,638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.62 : 18,873.20 = 7,709.50 : x
  2. Step 2: Convert to fraction form
    13,676.62/18,873.20 = 7,709.50/x
  3. Step 3: Cross multiply
    13,676.62x = 18,873.20 × 7,709.50
  4. Step 4: Simplify right side
    13,676.62x = 145,502,935.40
  5. Step 5: Solve for x
    x = 145,502,935.40/13,676.62
  6. Step 6: Final answer
    x = 10,638.81

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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.