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Finding the Fourth Proportional to 7,778.71, 11,663.38 and 3,099.44

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Solution

The fourth proportional to 7,778.71, 11,663.38 and 3,099.44 is: 4,647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.71 : 11,663.38 = 3,099.44 : x
  2. Step 2: Convert to fraction form
    7,778.71/11,663.38 = 3,099.44/x
  3. Step 3: Cross multiply
    7,778.71x = 11,663.38 × 3,099.44
  4. Step 4: Simplify right side
    7,778.71x = 36,149,931.01
  5. Step 5: Solve for x
    x = 36,149,931.01/7,778.71
  6. Step 6: Final answer
    x = 4,647.29

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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.