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Finding the Fourth Proportional to 8,478.45, 11,687.97 and 5,952.87

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Solution

The fourth proportional to 8,478.45, 11,687.97 and 5,952.87 is: 8,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.45 : 11,687.97 = 5,952.87 : x
  2. Step 2: Convert to fraction form
    8,478.45/11,687.97 = 5,952.87/x
  3. Step 3: Cross multiply
    8,478.45x = 11,687.97 × 5,952.87
  4. Step 4: Simplify right side
    8,478.45x = 69,576,965.97
  5. Step 5: Solve for x
    x = 69,576,965.97/8,478.45
  6. Step 6: Final answer
    x = 8,206.33

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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.