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Finding the Fourth Proportional to 8,540.38, 11,785.72 and 4,814.38

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Solution

The fourth proportional to 8,540.38, 11,785.72 and 4,814.38 is: 6,643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.38 : 11,785.72 = 4,814.38 : x
  2. Step 2: Convert to fraction form
    8,540.38/11,785.72 = 4,814.38/x
  3. Step 3: Cross multiply
    8,540.38x = 11,785.72 × 4,814.38
  4. Step 4: Simplify right side
    8,540.38x = 56,740,863.69
  5. Step 5: Solve for x
    x = 56,740,863.69/8,540.38
  6. Step 6: Final answer
    x = 6,643.84

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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.