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Finding the Fourth Proportional to 13,914.20, 19,202.63 and 8,612.10

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Solution

The fourth proportional to 13,914.20, 19,202.63 and 8,612.10 is: 11,885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.20 : 19,202.63 = 8,612.10 : x
  2. Step 2: Convert to fraction form
    13,914.20/19,202.63 = 8,612.10/x
  3. Step 3: Cross multiply
    13,914.20x = 19,202.63 × 8,612.10
  4. Step 4: Simplify right side
    13,914.20x = 165,374,969.82
  5. Step 5: Solve for x
    x = 165,374,969.82/13,914.20
  6. Step 6: Final answer
    x = 11,885.34

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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.