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Finding the Fourth Proportional to 7,804.85, 10,769.46 and 4,447.80

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Solution

The fourth proportional to 7,804.85, 10,769.46 and 4,447.80 is: 6,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.85 : 10,769.46 = 4,447.80 : x
  2. Step 2: Convert to fraction form
    7,804.85/10,769.46 = 4,447.80/x
  3. Step 3: Cross multiply
    7,804.85x = 10,769.46 × 4,447.80
  4. Step 4: Simplify right side
    7,804.85x = 47,900,404.19
  5. Step 5: Solve for x
    x = 47,900,404.19/7,804.85
  6. Step 6: Final answer
    x = 6,137.27

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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.