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Finding the Fourth Proportional to 13,475, 18,596.76 and 7,886

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Solution

The fourth proportional to 13,475, 18,596.76 and 7,886 is: 10,883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475 : 18,596.76 = 7,886 : x
  2. Step 2: Convert to fraction form
    13,475/18,596.76 = 7,886/x
  3. Step 3: Cross multiply
    13,475x = 18,596.76 × 7,886
  4. Step 4: Simplify right side
    13,475x = 146,654,049.36
  5. Step 5: Solve for x
    x = 146,654,049.36/13,475
  6. Step 6: Final answer
    x = 10,883.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.