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Finding the Fourth Proportional to 13,921.62, 19,211.81 and 8,259.11

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Solution

The fourth proportional to 13,921.62, 19,211.81 and 8,259.11 is: 11,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,921.62 : 19,211.81 = 8,259.11 : x
  2. Step 2: Convert to fraction form
    13,921.62/19,211.81 = 8,259.11/x
  3. Step 3: Cross multiply
    13,921.62x = 19,211.81 × 8,259.11
  4. Step 4: Simplify right side
    13,921.62x = 158,672,518.07
  5. Step 5: Solve for x
    x = 158,672,518.07/13,921.62
  6. Step 6: Final answer
    x = 11,397.56

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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.