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Finding the Fourth Proportional to 7,778.76, 11,668.10 and 2,232.14

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Solution

The fourth proportional to 7,778.76, 11,668.10 and 2,232.14 is: 3,348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.76 : 11,668.10 = 2,232.14 : x
  2. Step 2: Convert to fraction form
    7,778.76/11,668.10 = 2,232.14/x
  3. Step 3: Cross multiply
    7,778.76x = 11,668.10 × 2,232.14
  4. Step 4: Simplify right side
    7,778.76x = 26,044,763.23
  5. Step 5: Solve for x
    x = 26,044,763.23/7,778.76
  6. Step 6: Final answer
    x = 3,348.19

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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.