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Finding the Fourth Proportional to 12,754.80, 19,124.37 and 4,954.50

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Solution

The fourth proportional to 12,754.80, 19,124.37 and 4,954.50 is: 7,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.80 : 19,124.37 = 4,954.50 : x
  2. Step 2: Convert to fraction form
    12,754.80/19,124.37 = 4,954.50/x
  3. Step 3: Cross multiply
    12,754.80x = 19,124.37 × 4,954.50
  4. Step 4: Simplify right side
    12,754.80x = 94,751,691.17
  5. Step 5: Solve for x
    x = 94,751,691.17/12,754.80
  6. Step 6: Final answer
    x = 7,428.71

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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.