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Finding the Fourth Proportional to 7,843.86, 11,765.78 and 2,000.47

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Solution

The fourth proportional to 7,843.86, 11,765.78 and 2,000.47 is: 3,000.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.86 : 11,765.78 = 2,000.47 : x
  2. Step 2: Convert to fraction form
    7,843.86/11,765.78 = 2,000.47/x
  3. Step 3: Cross multiply
    7,843.86x = 11,765.78 × 2,000.47
  4. Step 4: Simplify right side
    7,843.86x = 23,537,031.09
  5. Step 5: Solve for x
    x = 23,537,031.09/7,843.86
  6. Step 6: Final answer
    x = 3,000.70

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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.