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Finding the Fourth Proportional to 13,609.72, 18,780.78 and 8,019.64

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Solution

The fourth proportional to 13,609.72, 18,780.78 and 8,019.64 is: 11,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.72 : 18,780.78 = 8,019.64 : x
  2. Step 2: Convert to fraction form
    13,609.72/18,780.78 = 8,019.64/x
  3. Step 3: Cross multiply
    13,609.72x = 18,780.78 × 8,019.64
  4. Step 4: Simplify right side
    13,609.72x = 150,615,094.52
  5. Step 5: Solve for x
    x = 150,615,094.52/13,609.72
  6. Step 6: Final answer
    x = 11,066.73

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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.