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Finding the Fourth Proportional to 19,304.84, 28,965.36 and 8,213.92

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Solution

The fourth proportional to 19,304.84, 28,965.36 and 8,213.92 is: 12,324.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,304.84 : 28,965.36 = 8,213.92 : x
  2. Step 2: Convert to fraction form
    19,304.84/28,965.36 = 8,213.92/x
  3. Step 3: Cross multiply
    19,304.84x = 28,965.36 × 8,213.92
  4. Step 4: Simplify right side
    19,304.84x = 237,919,149.81
  5. Step 5: Solve for x
    x = 237,919,149.81/19,304.84
  6. Step 6: Final answer
    x = 12,324.33

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1.5x scale

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.