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Finding the Fourth Proportional to 13,749.75, 18,978.98 and 8,781.75

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Solution

The fourth proportional to 13,749.75, 18,978.98 and 8,781.75 is: 12,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749.75 : 18,978.98 = 8,781.75 : x
  2. Step 2: Convert to fraction form
    13,749.75/18,978.98 = 8,781.75/x
  3. Step 3: Cross multiply
    13,749.75x = 18,978.98 × 8,781.75
  4. Step 4: Simplify right side
    13,749.75x = 166,668,613.71
  5. Step 5: Solve for x
    x = 166,668,613.71/13,749.75
  6. Step 6: Final answer
    x = 12,121.57

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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.