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Finding the Fourth Proportional to 7,778.56, 11,672.70 and 3,161.56

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Solution

The fourth proportional to 7,778.56, 11,672.70 and 3,161.56 is: 4,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.56 : 11,672.70 = 3,161.56 : x
  2. Step 2: Convert to fraction form
    7,778.56/11,672.70 = 3,161.56/x
  3. Step 3: Cross multiply
    7,778.56x = 11,672.70 × 3,161.56
  4. Step 4: Simplify right side
    7,778.56x = 36,903,941.41
  5. Step 5: Solve for x
    x = 36,903,941.41/7,778.56
  6. Step 6: Final answer
    x = 4,744.32

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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.