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Finding the Fourth Proportional to 13,375, 20,062.50 and 4,141

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Solution

The fourth proportional to 13,375, 20,062.50 and 4,141 is: 6,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,375 : 20,062.50 = 4,141 : x
  2. Step 2: Convert to fraction form
    13,375/20,062.50 = 4,141/x
  3. Step 3: Cross multiply
    13,375x = 20,062.50 × 4,141
  4. Step 4: Simplify right side
    13,375x = 83,078,812.50
  5. Step 5: Solve for x
    x = 83,078,812.50/13,375
  6. Step 6: Final answer
    x = 6,211.50

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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.