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Finding the Fourth Proportional to 11,963.63, 17,945.31 and 5,385.15

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Solution

The fourth proportional to 11,963.63, 17,945.31 and 5,385.15 is: 8,077.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.63 : 17,945.31 = 5,385.15 : x
  2. Step 2: Convert to fraction form
    11,963.63/17,945.31 = 5,385.15/x
  3. Step 3: Cross multiply
    11,963.63x = 17,945.31 × 5,385.15
  4. Step 4: Simplify right side
    11,963.63x = 96,638,206.34
  5. Step 5: Solve for x
    x = 96,638,206.34/11,963.63
  6. Step 6: Final answer
    x = 8,077.66

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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.