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Finding the Fourth Proportional to 7,934.58, 11,900.91 and 2,091.63

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Solution

The fourth proportional to 7,934.58, 11,900.91 and 2,091.63 is: 3,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.58 : 11,900.91 = 2,091.63 : x
  2. Step 2: Convert to fraction form
    7,934.58/11,900.91 = 2,091.63/x
  3. Step 3: Cross multiply
    7,934.58x = 11,900.91 × 2,091.63
  4. Step 4: Simplify right side
    7,934.58x = 24,892,300.38
  5. Step 5: Solve for x
    x = 24,892,300.38/7,934.58
  6. Step 6: Final answer
    x = 3,137.19

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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.