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Finding the Fourth Proportional to 12,961, 19,444.38 and 4,753

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Solution

The fourth proportional to 12,961, 19,444.38 and 4,753 is: 7,130.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961 : 19,444.38 = 4,753 : x
  2. Step 2: Convert to fraction form
    12,961/19,444.38 = 4,753/x
  3. Step 3: Cross multiply
    12,961x = 19,444.38 × 4,753
  4. Step 4: Simplify right side
    12,961x = 92,419,138.14
  5. Step 5: Solve for x
    x = 92,419,138.14/12,961
  6. Step 6: Final answer
    x = 7,130.56

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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.