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Finding the Fourth Proportional to 22,328.70, 30,816.05 and 12,769.47

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Solution

The fourth proportional to 22,328.70, 30,816.05 and 12,769.47 is: 17,623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,328.70 : 30,816.05 = 12,769.47 : x
  2. Step 2: Convert to fraction form
    22,328.70/30,816.05 = 12,769.47/x
  3. Step 3: Cross multiply
    22,328.70x = 30,816.05 × 12,769.47
  4. Step 4: Simplify right side
    22,328.70x = 393,504,734.35
  5. Step 5: Solve for x
    x = 393,504,734.35/22,328.70
  6. Step 6: Final answer
    x = 17,623.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.