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Finding the Fourth Proportional to 8,540.80, 11,786.32 and 4,764.21

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Solution

The fourth proportional to 8,540.80, 11,786.32 and 4,764.21 is: 6,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.80 : 11,786.32 = 4,764.21 : x
  2. Step 2: Convert to fraction form
    8,540.80/11,786.32 = 4,764.21/x
  3. Step 3: Cross multiply
    8,540.80x = 11,786.32 × 4,764.21
  4. Step 4: Simplify right side
    8,540.80x = 56,152,465.36
  5. Step 5: Solve for x
    x = 56,152,465.36/8,540.80
  6. Step 6: Final answer
    x = 6,574.62

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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.