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Finding the Fourth Proportional to 12,230.51, 18,332.87 and 5,661

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Solution

The fourth proportional to 12,230.51, 18,332.87 and 5,661 is: 8,485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.51 : 18,332.87 = 5,661 : x
  2. Step 2: Convert to fraction form
    12,230.51/18,332.87 = 5,661/x
  3. Step 3: Cross multiply
    12,230.51x = 18,332.87 × 5,661
  4. Step 4: Simplify right side
    12,230.51x = 103,782,348.77
  5. Step 5: Solve for x
    x = 103,782,348.77/12,230.51
  6. Step 6: Final answer
    x = 8,485.53

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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.