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Finding the Fourth Proportional to 8,134, 11,221.16 and 4,775.74

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Solution

The fourth proportional to 8,134, 11,221.16 and 4,775.74 is: 6,588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134 : 11,221.16 = 4,775.74 : x
  2. Step 2: Convert to fraction form
    8,134/11,221.16 = 4,775.74/x
  3. Step 3: Cross multiply
    8,134x = 11,221.16 × 4,775.74
  4. Step 4: Simplify right side
    8,134x = 53,589,342.66
  5. Step 5: Solve for x
    x = 53,589,342.66/8,134
  6. Step 6: Final answer
    x = 6,588.31

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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.