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Finding the Fourth Proportional to 7,833.82, 11,750.77 and 1,990.42

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Solution

The fourth proportional to 7,833.82, 11,750.77 and 1,990.42 is: 2,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.82 : 11,750.77 = 1,990.42 : x
  2. Step 2: Convert to fraction form
    7,833.82/11,750.77 = 1,990.42/x
  3. Step 3: Cross multiply
    7,833.82x = 11,750.77 × 1,990.42
  4. Step 4: Simplify right side
    7,833.82x = 23,388,967.62
  5. Step 5: Solve for x
    x = 23,388,967.62/7,833.82
  6. Step 6: Final answer
    x = 2,985.64

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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.