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Finding the Fourth Proportional to 13,135, 18,126.30 and 8,950.54

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Solution

The fourth proportional to 13,135, 18,126.30 and 8,950.54 is: 12,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135 : 18,126.30 = 8,950.54 : x
  2. Step 2: Convert to fraction form
    13,135/18,126.30 = 8,950.54/x
  3. Step 3: Cross multiply
    13,135x = 18,126.30 × 8,950.54
  4. Step 4: Simplify right side
    13,135x = 162,240,173.20
  5. Step 5: Solve for x
    x = 162,240,173.20/13,135
  6. Step 6: Final answer
    x = 12,351.75

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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.