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Finding the Fourth Proportional to 23,751, 32,775 and 13,140

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Solution

The fourth proportional to 23,751, 32,775 and 13,140 is: 18,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,751 : 32,775 = 13,140 : x
  2. Step 2: Convert to fraction form
    23,751/32,775 = 13,140/x
  3. Step 3: Cross multiply
    23,751x = 32,775 × 13,140
  4. Step 4: Simplify right side
    23,751x = 430,663,500
  5. Step 5: Solve for x
    x = 430,663,500/23,751
  6. Step 6: Final answer
    x = 18,132.44

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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.