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Finding the Fourth Proportional to 13,858.30, 20,881.03 and 11,447.14

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Solution

The fourth proportional to 13,858.30, 20,881.03 and 11,447.14 is: 17,248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.30 : 20,881.03 = 11,447.14 : x
  2. Step 2: Convert to fraction form
    13,858.30/20,881.03 = 11,447.14/x
  3. Step 3: Cross multiply
    13,858.30x = 20,881.03 × 11,447.14
  4. Step 4: Simplify right side
    13,858.30x = 239,028,073.75
  5. Step 5: Solve for x
    x = 239,028,073.75/13,858.30
  6. Step 6: Final answer
    x = 17,248.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.