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Finding the Fourth Proportional to 12,951, 19,427.94 and 4,743

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Solution

The fourth proportional to 12,951, 19,427.94 and 4,743 is: 7,115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951 : 19,427.94 = 4,743 : x
  2. Step 2: Convert to fraction form
    12,951/19,427.94 = 4,743/x
  3. Step 3: Cross multiply
    12,951x = 19,427.94 × 4,743
  4. Step 4: Simplify right side
    12,951x = 92,146,719.42
  5. Step 5: Solve for x
    x = 92,146,719.42/12,951
  6. Step 6: Final answer
    x = 7,115.03

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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.