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Finding the Fourth Proportional to 7,806.85, 10,773.41 and 4,449.80

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Solution

The fourth proportional to 7,806.85, 10,773.41 and 4,449.80 is: 6,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.85 : 10,773.41 = 4,449.80 : x
  2. Step 2: Convert to fraction form
    7,806.85/10,773.41 = 4,449.80/x
  3. Step 3: Cross multiply
    7,806.85x = 10,773.41 × 4,449.80
  4. Step 4: Simplify right side
    7,806.85x = 47,939,524.50
  5. Step 5: Solve for x
    x = 47,939,524.50/7,806.85
  6. Step 6: Final answer
    x = 6,140.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.