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Finding the Fourth Proportional to 36,706.80, 54,914.40 and 31,830.60

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Solution

The fourth proportional to 36,706.80, 54,914.40 and 31,830.60 is: 47,619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,706.80 : 54,914.40 = 31,830.60 : x
  2. Step 2: Convert to fraction form
    36,706.80/54,914.40 = 31,830.60/x
  3. Step 3: Cross multiply
    36,706.80x = 54,914.40 × 31,830.60
  4. Step 4: Simplify right side
    36,706.80x = 1,747,958,300.64
  5. Step 5: Solve for x
    x = 1,747,958,300.64/36,706.80
  6. Step 6: Final answer
    x = 47,619.47

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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.