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Finding the Fourth Proportional to 13,951.50, 19,255.50 and 8,362.50

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Solution

The fourth proportional to 13,951.50, 19,255.50 and 8,362.50 is: 11,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,951.50 : 19,255.50 = 8,362.50 : x
  2. Step 2: Convert to fraction form
    13,951.50/19,255.50 = 8,362.50/x
  3. Step 3: Cross multiply
    13,951.50x = 19,255.50 × 8,362.50
  4. Step 4: Simplify right side
    13,951.50x = 161,024,118.75
  5. Step 5: Solve for x
    x = 161,024,118.75/13,951.50
  6. Step 6: Final answer
    x = 11,541.71

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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.