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Finding the Fourth Proportional to 33,706.80, 50,574.78 and 13,989.78

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Solution

The fourth proportional to 33,706.80, 50,574.78 and 13,989.78 is: 20,990.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,706.80 : 50,574.78 = 13,989.78 : x
  2. Step 2: Convert to fraction form
    33,706.80/50,574.78 = 13,989.78/x
  3. Step 3: Cross multiply
    33,706.80x = 50,574.78 × 13,989.78
  4. Step 4: Simplify right side
    33,706.80x = 707,530,045.75
  5. Step 5: Solve for x
    x = 707,530,045.75/33,706.80
  6. Step 6: Final answer
    x = 20,990.72

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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.