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Finding the Fourth Proportional to 6,853.47, 9,453.11 and 4,338.78

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Solution

The fourth proportional to 6,853.47, 9,453.11 and 4,338.78 is: 5,984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.47 : 9,453.11 = 4,338.78 : x
  2. Step 2: Convert to fraction form
    6,853.47/9,453.11 = 4,338.78/x
  3. Step 3: Cross multiply
    6,853.47x = 9,453.11 × 4,338.78
  4. Step 4: Simplify right side
    6,853.47x = 41,014,942.91
  5. Step 5: Solve for x
    x = 41,014,942.91/6,853.47
  6. Step 6: Final answer
    x = 5,984.55

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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.