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Finding the Fourth Proportional to 13,956.12, 19,254.69 and 8,649

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Solution

The fourth proportional to 13,956.12, 19,254.69 and 8,649 is: 11,932.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,956.12 : 19,254.69 = 8,649 : x
  2. Step 2: Convert to fraction form
    13,956.12/19,254.69 = 8,649/x
  3. Step 3: Cross multiply
    13,956.12x = 19,254.69 × 8,649
  4. Step 4: Simplify right side
    13,956.12x = 166,533,813.81
  5. Step 5: Solve for x
    x = 166,533,813.81/13,956.12
  6. Step 6: Final answer
    x = 11,932.67

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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.