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Finding the Fourth Proportional to 6,338.70, 9,509.19 and 2,177.63

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Solution

The fourth proportional to 6,338.70, 9,509.19 and 2,177.63 is: 3,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.70 : 9,509.19 = 2,177.63 : x
  2. Step 2: Convert to fraction form
    6,338.70/9,509.19 = 2,177.63/x
  3. Step 3: Cross multiply
    6,338.70x = 9,509.19 × 2,177.63
  4. Step 4: Simplify right side
    6,338.70x = 20,707,497.42
  5. Step 5: Solve for x
    x = 20,707,497.42/6,338.70
  6. Step 6: Final answer
    x = 3,266.84

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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.