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Finding the Fourth Proportional to 12,163.80, 18,117.87 and 11,595

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Solution

The fourth proportional to 12,163.80, 18,117.87 and 11,595 is: 17,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.80 : 18,117.87 = 11,595 : x
  2. Step 2: Convert to fraction form
    12,163.80/18,117.87 = 11,595/x
  3. Step 3: Cross multiply
    12,163.80x = 18,117.87 × 11,595
  4. Step 4: Simplify right side
    12,163.80x = 210,076,702.65
  5. Step 5: Solve for x
    x = 210,076,702.65/12,163.80
  6. Step 6: Final answer
    x = 17,270.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.