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Finding the Fourth Proportional to 7,900.92, 11,851.38 and 2,057.58

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Solution

The fourth proportional to 7,900.92, 11,851.38 and 2,057.58 is: 3,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.92 : 11,851.38 = 2,057.58 : x
  2. Step 2: Convert to fraction form
    7,900.92/11,851.38 = 2,057.58/x
  3. Step 3: Cross multiply
    7,900.92x = 11,851.38 × 2,057.58
  4. Step 4: Simplify right side
    7,900.92x = 24,385,162.46
  5. Step 5: Solve for x
    x = 24,385,162.46/7,900.92
  6. Step 6: Final answer
    x = 3,086.37

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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.