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Finding the Fourth Proportional to 20,167, 30,250.50 and 5,575

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Solution

The fourth proportional to 20,167, 30,250.50 and 5,575 is: 8,362.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167 : 30,250.50 = 5,575 : x
  2. Step 2: Convert to fraction form
    20,167/30,250.50 = 5,575/x
  3. Step 3: Cross multiply
    20,167x = 30,250.50 × 5,575
  4. Step 4: Simplify right side
    20,167x = 168,646,537.50
  5. Step 5: Solve for x
    x = 168,646,537.50/20,167
  6. Step 6: Final answer
    x = 8,362.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.