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Finding the Fourth Proportional to 13,892, 20,829.90 and 7,316.60

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Solution

The fourth proportional to 13,892, 20,829.90 and 7,316.60 is: 10,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892 : 20,829.90 = 7,316.60 : x
  2. Step 2: Convert to fraction form
    13,892/20,829.90 = 7,316.60/x
  3. Step 3: Cross multiply
    13,892x = 20,829.90 × 7,316.60
  4. Step 4: Simplify right side
    13,892x = 152,404,046.34
  5. Step 5: Solve for x
    x = 152,404,046.34/13,892
  6. Step 6: Final answer
    x = 10,970.63

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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.