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Finding the Fourth Proportional to 19,169.96, 28,764.66 and 13,639.28

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Solution

The fourth proportional to 19,169.96, 28,764.66 and 13,639.28 is: 20,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,169.96 : 28,764.66 = 13,639.28 : x
  2. Step 2: Convert to fraction form
    19,169.96/28,764.66 = 13,639.28/x
  3. Step 3: Cross multiply
    19,169.96x = 28,764.66 × 13,639.28
  4. Step 4: Simplify right side
    19,169.96x = 392,329,251.84
  5. Step 5: Solve for x
    x = 392,329,251.84/19,169.96
  6. Step 6: Final answer
    x = 20,465.84

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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.