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Finding the Fourth Proportional to 12,186.50, 18,279.85 and 2,952.50

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Solution

The fourth proportional to 12,186.50, 18,279.85 and 2,952.50 is: 4,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.50 : 18,279.85 = 2,952.50 : x
  2. Step 2: Convert to fraction form
    12,186.50/18,279.85 = 2,952.50/x
  3. Step 3: Cross multiply
    12,186.50x = 18,279.85 × 2,952.50
  4. Step 4: Simplify right side
    12,186.50x = 53,971,257.13
  5. Step 5: Solve for x
    x = 53,971,257.13/12,186.50
  6. Step 6: Final answer
    x = 4,428.77

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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.