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Finding the Fourth Proportional to 12,963.50, 19,448.13 and 4,755.50

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Solution

The fourth proportional to 12,963.50, 19,448.13 and 4,755.50 is: 7,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.50 : 19,448.13 = 4,755.50 : x
  2. Step 2: Convert to fraction form
    12,963.50/19,448.13 = 4,755.50/x
  3. Step 3: Cross multiply
    12,963.50x = 19,448.13 × 4,755.50
  4. Step 4: Simplify right side
    12,963.50x = 92,485,582.22
  5. Step 5: Solve for x
    x = 92,485,582.22/12,963.50
  6. Step 6: Final answer
    x = 7,134.31

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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.