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Finding the Fourth Proportional to 31,009.80, 46,611.90 and 30,426.60

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Solution

The fourth proportional to 31,009.80, 46,611.90 and 30,426.60 is: 45,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,009.80 : 46,611.90 = 30,426.60 : x
  2. Step 2: Convert to fraction form
    31,009.80/46,611.90 = 30,426.60/x
  3. Step 3: Cross multiply
    31,009.80x = 46,611.90 × 30,426.60
  4. Step 4: Simplify right side
    31,009.80x = 1,418,241,636.54
  5. Step 5: Solve for x
    x = 1,418,241,636.54/31,009.80
  6. Step 6: Final answer
    x = 45,735.27

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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.