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Finding the Fourth Proportional to 7,778.76, 11,668.14 and 6,735.48

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Solution

The fourth proportional to 7,778.76, 11,668.14 and 6,735.48 is: 10,103.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.76 : 11,668.14 = 6,735.48 : x
  2. Step 2: Convert to fraction form
    7,778.76/11,668.14 = 6,735.48/x
  3. Step 3: Cross multiply
    7,778.76x = 11,668.14 × 6,735.48
  4. Step 4: Simplify right side
    7,778.76x = 78,590,523.61
  5. Step 5: Solve for x
    x = 78,590,523.61/7,778.76
  6. Step 6: Final answer
    x = 10,103.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.