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Finding the Fourth Proportional to 57,960.80, 86,946 and 18,523.52

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Solution

The fourth proportional to 57,960.80, 86,946 and 18,523.52 is: 27,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,960.80 : 86,946 = 18,523.52 : x
  2. Step 2: Convert to fraction form
    57,960.80/86,946 = 18,523.52/x
  3. Step 3: Cross multiply
    57,960.80x = 86,946 × 18,523.52
  4. Step 4: Simplify right side
    57,960.80x = 1,610,545,969.92
  5. Step 5: Solve for x
    x = 1,610,545,969.92/57,960.80
  6. Step 6: Final answer
    x = 27,786.81

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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.