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Finding the Fourth Proportional to 14,502.19, 21,749.86 and 8,179.78

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Solution

The fourth proportional to 14,502.19, 21,749.86 and 8,179.78 is: 12,267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.19 : 21,749.86 = 8,179.78 : x
  2. Step 2: Convert to fraction form
    14,502.19/21,749.86 = 8,179.78/x
  3. Step 3: Cross multiply
    14,502.19x = 21,749.86 × 8,179.78
  4. Step 4: Simplify right side
    14,502.19x = 177,908,995.01
  5. Step 5: Solve for x
    x = 177,908,995.01/14,502.19
  6. Step 6: Final answer
    x = 12,267.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.