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Finding the Fourth Proportional to 13,978.42, 20,961.48 and 7,403.07

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Solution

The fourth proportional to 13,978.42, 20,961.48 and 7,403.07 is: 11,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.42 : 20,961.48 = 7,403.07 : x
  2. Step 2: Convert to fraction form
    13,978.42/20,961.48 = 7,403.07/x
  3. Step 3: Cross multiply
    13,978.42x = 20,961.48 × 7,403.07
  4. Step 4: Simplify right side
    13,978.42x = 155,179,351.16
  5. Step 5: Solve for x
    x = 155,179,351.16/13,978.42
  6. Step 6: Final answer
    x = 11,101.35

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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.