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Finding the Fourth Proportional to 13,842.84, 20,730.78 and 9,687

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Solution

The fourth proportional to 13,842.84, 20,730.78 and 9,687 is: 14,507.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.84 : 20,730.78 = 9,687 : x
  2. Step 2: Convert to fraction form
    13,842.84/20,730.78 = 9,687/x
  3. Step 3: Cross multiply
    13,842.84x = 20,730.78 × 9,687
  4. Step 4: Simplify right side
    13,842.84x = 200,819,065.86
  5. Step 5: Solve for x
    x = 200,819,065.86/13,842.84
  6. Step 6: Final answer
    x = 14,507.07

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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.