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Finding the Fourth Proportional to 13,203.72, 19,800 and 6,959.82

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Solution

The fourth proportional to 13,203.72, 19,800 and 6,959.82 is: 10,436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.72 : 19,800 = 6,959.82 : x
  2. Step 2: Convert to fraction form
    13,203.72/19,800 = 6,959.82/x
  3. Step 3: Cross multiply
    13,203.72x = 19,800 × 6,959.82
  4. Step 4: Simplify right side
    13,203.72x = 137,804,436
  5. Step 5: Solve for x
    x = 137,804,436/13,203.72
  6. Step 6: Final answer
    x = 10,436.79

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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.