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Finding the Fourth Proportional to 12,963, 19,447.38 and 4,755

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Solution

The fourth proportional to 12,963, 19,447.38 and 4,755 is: 7,133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963 : 19,447.38 = 4,755 : x
  2. Step 2: Convert to fraction form
    12,963/19,447.38 = 4,755/x
  3. Step 3: Cross multiply
    12,963x = 19,447.38 × 4,755
  4. Step 4: Simplify right side
    12,963x = 92,472,291.90
  5. Step 5: Solve for x
    x = 92,472,291.90/12,963
  6. Step 6: Final answer
    x = 7,133.56

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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.