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Finding the Fourth Proportional to 13,506, 18,640.44 and 7,917

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Solution

The fourth proportional to 13,506, 18,640.44 and 7,917 is: 10,926.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506 : 18,640.44 = 7,917 : x
  2. Step 2: Convert to fraction form
    13,506/18,640.44 = 7,917/x
  3. Step 3: Cross multiply
    13,506x = 18,640.44 × 7,917
  4. Step 4: Simplify right side
    13,506x = 147,576,363.48
  5. Step 5: Solve for x
    x = 147,576,363.48/13,506
  6. Step 6: Final answer
    x = 10,926.73

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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.