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Finding the Fourth Proportional to 7,894.86, 11,843.64 and 3,512.40

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Solution

The fourth proportional to 7,894.86, 11,843.64 and 3,512.40 is: 5,269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.86 : 11,843.64 = 3,512.40 : x
  2. Step 2: Convert to fraction form
    7,894.86/11,843.64 = 3,512.40/x
  3. Step 3: Cross multiply
    7,894.86x = 11,843.64 × 3,512.40
  4. Step 4: Simplify right side
    7,894.86x = 41,599,601.14
  5. Step 5: Solve for x
    x = 41,599,601.14/7,894.86
  6. Step 6: Final answer
    x = 5,269.20

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1.5x scale

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.