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Finding the Fourth Proportional to 7,687.98, 11,538.80 and 3,992.76

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Solution

The fourth proportional to 7,687.98, 11,538.80 and 3,992.76 is: 5,992.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.98 : 11,538.80 = 3,992.76 : x
  2. Step 2: Convert to fraction form
    7,687.98/11,538.80 = 3,992.76/x
  3. Step 3: Cross multiply
    7,687.98x = 11,538.80 × 3,992.76
  4. Step 4: Simplify right side
    7,687.98x = 46,071,639.12
  5. Step 5: Solve for x
    x = 46,071,639.12/7,687.98
  6. Step 6: Final answer
    x = 5,992.68

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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.