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Finding the Fourth Proportional to 13,762.50, 18,997.17 and 8,173.50

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Solution

The fourth proportional to 13,762.50, 18,997.17 and 8,173.50 is: 11,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.50 : 18,997.17 = 8,173.50 : x
  2. Step 2: Convert to fraction form
    13,762.50/18,997.17 = 8,173.50/x
  3. Step 3: Cross multiply
    13,762.50x = 18,997.17 × 8,173.50
  4. Step 4: Simplify right side
    13,762.50x = 155,273,369.00
  5. Step 5: Solve for x
    x = 155,273,369.00/13,762.50
  6. Step 6: Final answer
    x = 11,282.35

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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.