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Finding the Fourth Proportional to 8,540.30, 11,785.84 and 4,764.08

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Solution

The fourth proportional to 8,540.30, 11,785.84 and 4,764.08 is: 6,574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.30 : 11,785.84 = 4,764.08 : x
  2. Step 2: Convert to fraction form
    8,540.30/11,785.84 = 4,764.08/x
  3. Step 3: Cross multiply
    8,540.30x = 11,785.84 × 4,764.08
  4. Step 4: Simplify right side
    8,540.30x = 56,148,684.63
  5. Step 5: Solve for x
    x = 56,148,684.63/8,540.30
  6. Step 6: Final answer
    x = 6,574.56

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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.