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Finding the Fourth Proportional to 12,696.84, 19,047.11 and 3,932.46

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Solution

The fourth proportional to 12,696.84, 19,047.11 and 3,932.46 is: 5,899.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.84 : 19,047.11 = 3,932.46 : x
  2. Step 2: Convert to fraction form
    12,696.84/19,047.11 = 3,932.46/x
  3. Step 3: Cross multiply
    12,696.84x = 19,047.11 × 3,932.46
  4. Step 4: Simplify right side
    12,696.84x = 74,901,978.53
  5. Step 5: Solve for x
    x = 74,901,978.53/12,696.84
  6. Step 6: Final answer
    x = 5,899.26

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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.