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Finding the Fourth Proportional to 12,186, 18,279.10 and 2,952

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Solution

The fourth proportional to 12,186, 18,279.10 and 2,952 is: 4,428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186 : 18,279.10 = 2,952 : x
  2. Step 2: Convert to fraction form
    12,186/18,279.10 = 2,952/x
  3. Step 3: Cross multiply
    12,186x = 18,279.10 × 2,952
  4. Step 4: Simplify right side
    12,186x = 53,959,903.20
  5. Step 5: Solve for x
    x = 53,959,903.20/12,186
  6. Step 6: Final answer
    x = 4,428.02

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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.