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Finding the Fourth Proportional to 12,750.31, 19,111.79 and 6,167.44

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Solution

The fourth proportional to 12,750.31, 19,111.79 and 6,167.44 is: 9,244.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,750.31 : 19,111.79 = 6,167.44 : x
  2. Step 2: Convert to fraction form
    12,750.31/19,111.79 = 6,167.44/x
  3. Step 3: Cross multiply
    12,750.31x = 19,111.79 × 6,167.44
  4. Step 4: Simplify right side
    12,750.31x = 117,870,818.12
  5. Step 5: Solve for x
    x = 117,870,818.12/12,750.31
  6. Step 6: Final answer
    x = 9,244.55

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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.