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Finding the Fourth Proportional to 7,804.80, 10,769.90 and 4,448.43

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Solution

The fourth proportional to 7,804.80, 10,769.90 and 4,448.43 is: 6,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.80 : 10,769.90 = 4,448.43 : x
  2. Step 2: Convert to fraction form
    7,804.80/10,769.90 = 4,448.43/x
  3. Step 3: Cross multiply
    7,804.80x = 10,769.90 × 4,448.43
  4. Step 4: Simplify right side
    7,804.80x = 47,909,124.01
  5. Step 5: Solve for x
    x = 47,909,124.01/7,804.80
  6. Step 6: Final answer
    x = 6,138.42

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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.