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Finding the Fourth Proportional to 18,543.26, 27,807.40 and 11,512.87

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Solution

The fourth proportional to 18,543.26, 27,807.40 and 11,512.87 is: 17,264.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,543.26 : 27,807.40 = 11,512.87 : x
  2. Step 2: Convert to fraction form
    18,543.26/27,807.40 = 11,512.87/x
  3. Step 3: Cross multiply
    18,543.26x = 27,807.40 × 11,512.87
  4. Step 4: Simplify right side
    18,543.26x = 320,142,926.11
  5. Step 5: Solve for x
    x = 320,142,926.11/18,543.26
  6. Step 6: Final answer
    x = 17,264.65

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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.