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Finding the Fourth Proportional to 12,270, 16,932.60 and 7,302

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Solution

The fourth proportional to 12,270, 16,932.60 and 7,302 is: 10,076.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270 : 16,932.60 = 7,302 : x
  2. Step 2: Convert to fraction form
    12,270/16,932.60 = 7,302/x
  3. Step 3: Cross multiply
    12,270x = 16,932.60 × 7,302
  4. Step 4: Simplify right side
    12,270x = 123,641,845.20
  5. Step 5: Solve for x
    x = 123,641,845.20/12,270
  6. Step 6: Final answer
    x = 10,076.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.