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Finding the Fourth Proportional to 7,141.28, 9,859.78 and 4,453.54

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Solution

The fourth proportional to 7,141.28, 9,859.78 and 4,453.54 is: 6,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.28 : 9,859.78 = 4,453.54 : x
  2. Step 2: Convert to fraction form
    7,141.28/9,859.78 = 4,453.54/x
  3. Step 3: Cross multiply
    7,141.28x = 9,859.78 × 4,453.54
  4. Step 4: Simplify right side
    7,141.28x = 43,910,924.62
  5. Step 5: Solve for x
    x = 43,910,924.62/7,141.28
  6. Step 6: Final answer
    x = 6,148.89

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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.