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Finding the Fourth Proportional to 6,628.52, 9,942.25 and 3,853.42

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Solution

The fourth proportional to 6,628.52, 9,942.25 and 3,853.42 is: 5,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.52 : 9,942.25 = 3,853.42 : x
  2. Step 2: Convert to fraction form
    6,628.52/9,942.25 = 3,853.42/x
  3. Step 3: Cross multiply
    6,628.52x = 9,942.25 × 3,853.42
  4. Step 4: Simplify right side
    6,628.52x = 38,311,640.14
  5. Step 5: Solve for x
    x = 38,311,640.14/6,628.52
  6. Step 6: Final answer
    x = 5,779.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.