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Finding the Fourth Proportional to 13,755.92, 18,967.92 and 9,971.60

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Solution

The fourth proportional to 13,755.92, 18,967.92 and 9,971.60 is: 13,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.92 : 18,967.92 = 9,971.60 : x
  2. Step 2: Convert to fraction form
    13,755.92/18,967.92 = 9,971.60/x
  3. Step 3: Cross multiply
    13,755.92x = 18,967.92 × 9,971.60
  4. Step 4: Simplify right side
    13,755.92x = 189,140,511.07
  5. Step 5: Solve for x
    x = 189,140,511.07/13,755.92
  6. Step 6: Final answer
    x = 13,749.75

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1.5x scale

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.