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Finding the Fourth Proportional to 7,934.39, 11,900.41 and 2,090.99

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Solution

The fourth proportional to 7,934.39, 11,900.41 and 2,090.99 is: 3,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.39 : 11,900.41 = 2,090.99 : x
  2. Step 2: Convert to fraction form
    7,934.39/11,900.41 = 2,090.99/x
  3. Step 3: Cross multiply
    7,934.39x = 11,900.41 × 2,090.99
  4. Step 4: Simplify right side
    7,934.39x = 24,883,638.31
  5. Step 5: Solve for x
    x = 24,883,638.31/7,934.39
  6. Step 6: Final answer
    x = 3,136.18

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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.