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Finding the Fourth Proportional to 36,682.80, 54,878.40 and 31,806.60

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Solution

The fourth proportional to 36,682.80, 54,878.40 and 31,806.60 is: 47,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,682.80 : 54,878.40 = 31,806.60 : x
  2. Step 2: Convert to fraction form
    36,682.80/54,878.40 = 31,806.60/x
  3. Step 3: Cross multiply
    36,682.80x = 54,878.40 × 31,806.60
  4. Step 4: Simplify right side
    36,682.80x = 1,745,495,317.44
  5. Step 5: Solve for x
    x = 1,745,495,317.44/36,682.80
  6. Step 6: Final answer
    x = 47,583.48

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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.