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Finding the Fourth Proportional to 14,481, 21,736.06 and 9,785.96

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Solution

The fourth proportional to 14,481, 21,736.06 and 9,785.96 is: 14,688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,481 : 21,736.06 = 9,785.96 : x
  2. Step 2: Convert to fraction form
    14,481/21,736.06 = 9,785.96/x
  3. Step 3: Cross multiply
    14,481x = 21,736.06 × 9,785.96
  4. Step 4: Simplify right side
    14,481x = 212,708,213.72
  5. Step 5: Solve for x
    x = 212,708,213.72/14,481
  6. Step 6: Final answer
    x = 14,688.78

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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.