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Finding the Fourth Proportional to 12,186.46, 18,268.08 and 4,788.46

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Solution

The fourth proportional to 12,186.46, 18,268.08 and 4,788.46 is: 7,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.46 : 18,268.08 = 4,788.46 : x
  2. Step 2: Convert to fraction form
    12,186.46/18,268.08 = 4,788.46/x
  3. Step 3: Cross multiply
    12,186.46x = 18,268.08 × 4,788.46
  4. Step 4: Simplify right side
    12,186.46x = 87,475,970.36
  5. Step 5: Solve for x
    x = 87,475,970.36/12,186.46
  6. Step 6: Final answer
    x = 7,178.13

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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.