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Finding the Fourth Proportional to 13,906, 19,191.04 and 8,241.12

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Solution

The fourth proportional to 13,906, 19,191.04 and 8,241.12 is: 11,373.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906 : 19,191.04 = 8,241.12 : x
  2. Step 2: Convert to fraction form
    13,906/19,191.04 = 8,241.12/x
  3. Step 3: Cross multiply
    13,906x = 19,191.04 × 8,241.12
  4. Step 4: Simplify right side
    13,906x = 158,155,663.56
  5. Step 5: Solve for x
    x = 158,155,663.56/13,906
  6. Step 6: Final answer
    x = 11,373.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.