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Finding the Fourth Proportional to 13,668.84, 20,489.04 and 9,911.52

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Solution

The fourth proportional to 13,668.84, 20,489.04 and 9,911.52 is: 14,856.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,668.84 : 20,489.04 = 9,911.52 : x
  2. Step 2: Convert to fraction form
    13,668.84/20,489.04 = 9,911.52/x
  3. Step 3: Cross multiply
    13,668.84x = 20,489.04 × 9,911.52
  4. Step 4: Simplify right side
    13,668.84x = 203,077,529.74
  5. Step 5: Solve for x
    x = 203,077,529.74/13,668.84
  6. Step 6: Final answer
    x = 14,856.97

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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.