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Finding the Fourth Proportional to 8,145, 12,217.50 and 2,950.88

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Solution

The fourth proportional to 8,145, 12,217.50 and 2,950.88 is: 4,426.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145 : 12,217.50 = 2,950.88 : x
  2. Step 2: Convert to fraction form
    8,145/12,217.50 = 2,950.88/x
  3. Step 3: Cross multiply
    8,145x = 12,217.50 × 2,950.88
  4. Step 4: Simplify right side
    8,145x = 36,052,315.31
  5. Step 5: Solve for x
    x = 36,052,315.31/8,145
  6. Step 6: Final answer
    x = 4,426.31

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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.