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Finding the Fourth Proportional to 13,275, 18,319.50 and 7,686

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Solution

The fourth proportional to 13,275, 18,319.50 and 7,686 is: 10,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,275 : 18,319.50 = 7,686 : x
  2. Step 2: Convert to fraction form
    13,275/18,319.50 = 7,686/x
  3. Step 3: Cross multiply
    13,275x = 18,319.50 × 7,686
  4. Step 4: Simplify right side
    13,275x = 140,803,677
  5. Step 5: Solve for x
    x = 140,803,677/13,275
  6. Step 6: Final answer
    x = 10,606.68

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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.