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Finding the Fourth Proportional to 7,786.66, 11,691.85 and 7,534.25

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Solution

The fourth proportional to 7,786.66, 11,691.85 and 7,534.25 is: 11,312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.66 : 11,691.85 = 7,534.25 : x
  2. Step 2: Convert to fraction form
    7,786.66/11,691.85 = 7,534.25/x
  3. Step 3: Cross multiply
    7,786.66x = 11,691.85 × 7,534.25
  4. Step 4: Simplify right side
    7,786.66x = 88,089,262.40
  5. Step 5: Solve for x
    x = 88,089,262.40/7,786.66
  6. Step 6: Final answer
    x = 11,312.84

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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.