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Finding the Fourth Proportional to 13,541, 18,688.20 and 7,952

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Solution

The fourth proportional to 13,541, 18,688.20 and 7,952 is: 10,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,541 : 18,688.20 = 7,952 : x
  2. Step 2: Convert to fraction form
    13,541/18,688.20 = 7,952/x
  3. Step 3: Cross multiply
    13,541x = 18,688.20 × 7,952
  4. Step 4: Simplify right side
    13,541x = 148,608,566.40
  5. Step 5: Solve for x
    x = 148,608,566.40/13,541
  6. Step 6: Final answer
    x = 10,974.71

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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.