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Finding the Fourth Proportional to 8,507.58, 12,763.41 and 4,119.91

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Solution

The fourth proportional to 8,507.58, 12,763.41 and 4,119.91 is: 6,180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.58 : 12,763.41 = 4,119.91 : x
  2. Step 2: Convert to fraction form
    8,507.58/12,763.41 = 4,119.91/x
  3. Step 3: Cross multiply
    8,507.58x = 12,763.41 × 4,119.91
  4. Step 4: Simplify right side
    8,507.58x = 52,584,100.49
  5. Step 5: Solve for x
    x = 52,584,100.49/8,507.58
  6. Step 6: Final answer
    x = 6,180.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.