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Finding the Fourth Proportional to 15,777.99, 23,681.57 and 7,992.27

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Solution

The fourth proportional to 15,777.99, 23,681.57 and 7,992.27 is: 11,995.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.99 : 23,681.57 = 7,992.27 : x
  2. Step 2: Convert to fraction form
    15,777.99/23,681.57 = 7,992.27/x
  3. Step 3: Cross multiply
    15,777.99x = 23,681.57 × 7,992.27
  4. Step 4: Simplify right side
    15,777.99x = 189,269,461.50
  5. Step 5: Solve for x
    x = 189,269,461.50/15,777.99
  6. Step 6: Final answer
    x = 11,995.79

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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.