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Finding the Fourth Proportional to 9,296, 13,944.80 and 2,370.48

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Solution

The fourth proportional to 9,296, 13,944.80 and 2,370.48 is: 3,555.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296 : 13,944.80 = 2,370.48 : x
  2. Step 2: Convert to fraction form
    9,296/13,944.80 = 2,370.48/x
  3. Step 3: Cross multiply
    9,296x = 13,944.80 × 2,370.48
  4. Step 4: Simplify right side
    9,296x = 33,055,869.50
  5. Step 5: Solve for x
    x = 33,055,869.50/9,296
  6. Step 6: Final answer
    x = 3,555.92

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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.