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Finding the Fourth Proportional to 12,502.78, 18,759.21 and 4,713.82

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Solution

The fourth proportional to 12,502.78, 18,759.21 and 4,713.82 is: 7,072.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.78 : 18,759.21 = 4,713.82 : x
  2. Step 2: Convert to fraction form
    12,502.78/18,759.21 = 4,713.82/x
  3. Step 3: Cross multiply
    12,502.78x = 18,759.21 × 4,713.82
  4. Step 4: Simplify right side
    12,502.78x = 88,427,539.28
  5. Step 5: Solve for x
    x = 88,427,539.28/12,502.78
  6. Step 6: Final answer
    x = 7,072.63

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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.