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Finding the Fourth Proportional to 18,921, 26,112.81 and 10,537.50

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Solution

The fourth proportional to 18,921, 26,112.81 and 10,537.50 is: 14,542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,921 : 26,112.81 = 10,537.50 : x
  2. Step 2: Convert to fraction form
    18,921/26,112.81 = 10,537.50/x
  3. Step 3: Cross multiply
    18,921x = 26,112.81 × 10,537.50
  4. Step 4: Simplify right side
    18,921x = 275,163,735.38
  5. Step 5: Solve for x
    x = 275,163,735.38/18,921
  6. Step 6: Final answer
    x = 14,542.77

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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.