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Finding the Fourth Proportional to 22,295.99, 30,769.44 and 13,341.78

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Solution

The fourth proportional to 22,295.99, 30,769.44 and 13,341.78 is: 18,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,295.99 : 30,769.44 = 13,341.78 : x
  2. Step 2: Convert to fraction form
    22,295.99/30,769.44 = 13,341.78/x
  3. Step 3: Cross multiply
    22,295.99x = 30,769.44 × 13,341.78
  4. Step 4: Simplify right side
    22,295.99x = 410,519,049.17
  5. Step 5: Solve for x
    x = 410,519,049.17/22,295.99
  6. Step 6: Final answer
    x = 18,412.23

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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.