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Finding the Fourth Proportional to 13,958.13, 20,895.63 and 9,261.90

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Solution

The fourth proportional to 13,958.13, 20,895.63 and 9,261.90 is: 13,865.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958.13 : 20,895.63 = 9,261.90 : x
  2. Step 2: Convert to fraction form
    13,958.13/20,895.63 = 9,261.90/x
  3. Step 3: Cross multiply
    13,958.13x = 20,895.63 × 9,261.90
  4. Step 4: Simplify right side
    13,958.13x = 193,533,235.50
  5. Step 5: Solve for x
    x = 193,533,235.50/13,958.13
  6. Step 6: Final answer
    x = 13,865.27

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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.