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Finding the Fourth Proportional to 31,257, 43,135.07 and 17,109.54

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Solution

The fourth proportional to 31,257, 43,135.07 and 17,109.54 is: 23,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,257 : 43,135.07 = 17,109.54 : x
  2. Step 2: Convert to fraction form
    31,257/43,135.07 = 17,109.54/x
  3. Step 3: Cross multiply
    31,257x = 43,135.07 × 17,109.54
  4. Step 4: Simplify right side
    31,257x = 738,021,120.02
  5. Step 5: Solve for x
    x = 738,021,120.02/31,257
  6. Step 6: Final answer
    x = 23,611.39

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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.