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Finding the Fourth Proportional to 8,540.86, 11,785.94 and 4,764.42

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Solution

The fourth proportional to 8,540.86, 11,785.94 and 4,764.42 is: 6,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.86 : 11,785.94 = 4,764.42 : x
  2. Step 2: Convert to fraction form
    8,540.86/11,785.94 = 4,764.42/x
  3. Step 3: Cross multiply
    8,540.86x = 11,785.94 × 4,764.42
  4. Step 4: Simplify right side
    8,540.86x = 56,153,168.25
  5. Step 5: Solve for x
    x = 56,153,168.25/8,540.86
  6. Step 6: Final answer
    x = 6,574.65

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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.