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Finding the Fourth Proportional to 7,663.78, 11,484.96 and 4,146.22

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Solution

The fourth proportional to 7,663.78, 11,484.96 and 4,146.22 is: 6,213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.78 : 11,484.96 = 4,146.22 : x
  2. Step 2: Convert to fraction form
    7,663.78/11,484.96 = 4,146.22/x
  3. Step 3: Cross multiply
    7,663.78x = 11,484.96 × 4,146.22
  4. Step 4: Simplify right side
    7,663.78x = 47,619,170.85
  5. Step 5: Solve for x
    x = 47,619,170.85/7,663.78
  6. Step 6: Final answer
    x = 6,213.54

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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.