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Finding the Fourth Proportional to 14,513.50, 20,028.63 and 7,889.50

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Solution

The fourth proportional to 14,513.50, 20,028.63 and 7,889.50 is: 10,887.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.50 : 20,028.63 = 7,889.50 : x
  2. Step 2: Convert to fraction form
    14,513.50/20,028.63 = 7,889.50/x
  3. Step 3: Cross multiply
    14,513.50x = 20,028.63 × 7,889.50
  4. Step 4: Simplify right side
    14,513.50x = 158,015,876.39
  5. Step 5: Solve for x
    x = 158,015,876.39/14,513.50
  6. Step 6: Final answer
    x = 10,887.51

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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.