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Finding the Fourth Proportional to 15,782.94, 23,663.43 and 7,986.42

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Solution

The fourth proportional to 15,782.94, 23,663.43 and 7,986.42 is: 11,974.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.94 : 23,663.43 = 7,986.42 : x
  2. Step 2: Convert to fraction form
    15,782.94/23,663.43 = 7,986.42/x
  3. Step 3: Cross multiply
    15,782.94x = 23,663.43 × 7,986.42
  4. Step 4: Simplify right side
    15,782.94x = 188,986,090.62
  5. Step 5: Solve for x
    x = 188,986,090.62/15,782.94
  6. Step 6: Final answer
    x = 11,974.07

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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.