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Finding the Fourth Proportional to 13,978.62, 20,948.15 and 7,741.49

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Solution

The fourth proportional to 13,978.62, 20,948.15 and 7,741.49 is: 11,601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.62 : 20,948.15 = 7,741.49 : x
  2. Step 2: Convert to fraction form
    13,978.62/20,948.15 = 7,741.49/x
  3. Step 3: Cross multiply
    13,978.62x = 20,948.15 × 7,741.49
  4. Step 4: Simplify right side
    13,978.62x = 162,169,808.36
  5. Step 5: Solve for x
    x = 162,169,808.36/13,978.62
  6. Step 6: Final answer
    x = 11,601.27

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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.