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Finding the Fourth Proportional to 7,836.38, 11,754.65 and 1,992.99

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Solution

The fourth proportional to 7,836.38, 11,754.65 and 1,992.99 is: 2,989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.38 : 11,754.65 = 1,992.99 : x
  2. Step 2: Convert to fraction form
    7,836.38/11,754.65 = 1,992.99/x
  3. Step 3: Cross multiply
    7,836.38x = 11,754.65 × 1,992.99
  4. Step 4: Simplify right side
    7,836.38x = 23,426,899.90
  5. Step 5: Solve for x
    x = 23,426,899.90/7,836.38
  6. Step 6: Final answer
    x = 2,989.51

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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.