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Finding the Fourth Proportional to 14,697.39, 20,281.81 and 7,982.86

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Solution

The fourth proportional to 14,697.39, 20,281.81 and 7,982.86 is: 11,016.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.39 : 20,281.81 = 7,982.86 : x
  2. Step 2: Convert to fraction form
    14,697.39/20,281.81 = 7,982.86/x
  3. Step 3: Cross multiply
    14,697.39x = 20,281.81 × 7,982.86
  4. Step 4: Simplify right side
    14,697.39x = 161,906,849.78
  5. Step 5: Solve for x
    x = 161,906,849.78/14,697.39
  6. Step 6: Final answer
    x = 11,016.03

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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.